Square Complementary Stable Graphs

Toho University

General construction of cluttered orderings and square disk arrays

COMSATS Institute of Information Technology, Lahore- Pakistan

On some topological indices and polynomials of the Zigzag Boron triangular nanotube BNT[p, q]

Extremal values of Topological Indices

An Upper Bound on the Scrambling Index

Independent [1,2]-number versus independent domination number

A Generalization of Line graphs

Semi Square Stable Graphs

A New Graph Recoloring Game

Coherent Network Partitions

The maximum number of cycles in a graph

Strong Matching Preclusion of Generalized Petersen Graphs

Polychromatic 4-coloring of an even-sided embedding

Bounding Domination Invariants

On The Existence of Generalized Designs

Dot Product Graphs: Investigation of Extreme Dimensions

Sigma Connectivity, Cographs, and Flower Graphs

Jonathan Farley's Mathematical Terror Theory: The Structure of Perfect Ter rorist Cells with a Single Leader                                                                                        

Multiplex Juggling and Generalized Eulerian Numbers

Some Vertex Prime Graph Families And A New Labeling Of Graphs

Unavoidable Immersions of 3-Edge-Connected Graphs

Graphs with low Erdos-Gallai differences

Functions of degrees and distances as graph invariants in trees

Weighted Distance-Two Edge-Balance Index Sets of Star Graphs

Matroidal Structure of Skew Polynomial Root Sets

Peg Duotaire - A Competitive Graph Parameter

Distance in the Graph Model of a Sudoku Grid

Constructing Manifolds from Trees of Simplices

Classifying Cubic Surfaces over a Finite Field

Recent Results on Improper Interval Graphs

A Study of Domination Related Parameters in Graphs and their Applications

Rainbow Hamiltonian-Connected Graphs

Compositions colored by simplicial polytopic numbers

Expected Value for Routable Disjoint Paths Given Random Terminal Selections

Boehme, Thomas

Bona, Miklos

Counting vertices in labeled rooted trees

An Introduction to Set-sized Packing

Entire Colorability for a Class of Plane Graphs

Interval k-Orders

Recent Results on Chromatic Polynomials

Graceful Colorings of Graphs

Minimizing Positive Integer Sequences without Duplicate Substrings

Partial Domination in Graphs

Game Chromatic Index of K ₆

A Note on Total Chromatic Numbers of Graphs

On the Maximum Number of Constraints for some Balanced Arrays of Strength Ten with Two Levels and Applications

Counting split graphs, bipartite posets and adjacency matrices

k- protected and balanced vertices in unlabeled rooted plane trees

Thor Sequences

Monochromatic Rectangles in Grid Colorings

Enumerating Hamiltonian Paths in Cayley Digraphs on the Semidirect Product  of Cyclic Groups

Connected Fundamental Transversals and Fundamental Transversal Domains

Zebra Trees

Anomaly Detection in Social Networks

On uniquely representable k-circular matroids

Postorder Preimages

Pattern-Avoiding Linear Extensions of Combs

Extensions of some Results on the Conjecture on Exceptional APN
Functions and Absolutely Irreducible Polynomials: the Gold Case

Constructions of hypergraphs free of certain 3-uniform 3-partite hypergraphs

On k-Rainbow Colorings in Graphs

Counting fainbow pairs

On the 7-cordiality of trees

The x-fold spectra of several multigraphs on 4 vertices with 6 edges and edge multiplicity at most 2

On some cyclic and 1-rotational multigraph designs

On the dimension of composition posets

Polynomial Lemniscate Configurations and Lemniscate Trees

Restrained domination in directed graphs

A family of 2-crossing-critical graphs on the projective plane

Maximum Rectilinear Crossing Numbers of Polyomino Graphs

Tree Colorings of Graphs

Non-disjoint Path Covering Number of Threshold Graphs

New structural properties of trees with minimal atom-bond connectivity index

A graph-theoretical solution to a chemical problem: dominating sets and polyhedral carbon-nitrogen cages

The Birank Number of Operationally Constructed Graphs

Constructing d-Handicap Tournaments

Products of Cycles Labeled by Cyclic Groups

The Combinatorics of RNA-Protein Interactions

Conterexamples to Hamada's conjecture

Combinatorics of n-Colored Cyclic Compositions

On rational Dyck paths and factor-free Dyck words

Using Matching to Detect Infeasibility of Some Integer Programs

Longest Common Patterns and Longest Increasing Subsequences

Up-Down Ternary Strings

On Gallai-Ramsey Numbers of Complete Bipartite Graphs

Embedding Complete Multipartite Graphs into Smallest Dimension

Crossings of Pseudo Diagonals in Convex Polygons

Majestic Colorings in Graphs

Dominating a graph using both nodes and edges

Research Accomplishments of Prof. Peter J. Slater: A Tribute to Our Colleague and Dear Friend

Research Accomplishments of Prof. Peter J. Slater: A Tribute to Our Colleague and Dear Friend

Cutting a Tree into a Forest: A Weighted Edge Algorithm

An extension of Beineke to the Prototype Representation P(3, 1) and the infinite set of forbidden induced subgraphs

New Results on Circular Nim

The Signal Detection Problem: Closed Modular Colorings on Grid Graphs

Chromatic Villainy

The intersection problem for maximum packings of K _6n+5

Pattern Enumeration in the Separable Permutations

Universal Cycles of Graph Colorings

Color restricted n-color compositions

Oriented Graceful Labelings of Trees

4-Equitable Graphs

Change in the Dynamics of a Weighted Digraph via Eigenvalues

Interval Orders with Length Bounds

BCH-like codes from extended Norm-Trace codes

On 2-fold graceful labelings of graphs

Rainbow Connectivity in Certain Cayley Graphs

Stable transmission trees on moving sinksof wireless sensor network

Cubic surfaces over F₁₃

Generating theorem for minor relations of quadrangulations with minimum degree at least 3 on the sphere

Lower bound graphs of lattices and lattice transformations

On Disjoint Cycles and Degree Conditions

Bounds for the Sum Choice Number

Signed edge domination numbers of complete tripartite graphs: Part Two

The x-fold spectra of several multigraphs on 4 vertices with 6 edges and edge
multiplicity at most 2

Rainbow Colorings and Rainbow Dependent Sets

Distributed Data Storage Systems via Graphs

The Stars and Stripes Problem

Vizing's conjecture: a two-thirds bound for claw-free graphs

Signal noise reduction via the cumulative spectral density

A characterization of trees with equal 2-domination and 2-independence nembers

Constructing Codes Using Transitive Permutation Groups

Counting labeled Greg cacti and clique trees

Pattern Containment in Circuler Permutaions

Resolvability Parameters of Graphs

Edge Colorings of Hypergraphs Without A Fixed Rainbow Colored Subhyper-
graph

Maximum Rectilinear Crossing Numbers of Polyomino Graphs

Irredundant Colorings of Graph Products

K8 is a Sphere-of-Influence Graph. K9 is not .

The Integer-magic Spectra of the Cartesian Product of Two Trees

On Min-max Pair in Tournaments

The excedance set of a permutation: asymptotic enumeration

Gallai-Ramsey numbers for finding a rainbow triangle or some small monochro matic subgraphs

On decomposing complete tripartite graphs into 5-cycles

Iris Segmentation Based on EM Mixture of Gaussian Distribution

Some Algebraic Structure of the Riordan Group

Looking for the sum-freedom: The Maximum Size of (k, l)-sum-free Sets

On completing partial Latin squares with two filled rows and at
least two filled columns

Waldspurger Matrices

A Class of Tricyclic Steiner Triple Systems

Minimum dominating sets that are separating

Online coloring blowups of a known graph

Degree complete graphs

Compression Operator and Some Minimization Problems

Generalizations of Independent Dominating Sets in Graphs

Integer Programming Approach to Static Monopolies in Graphs

2-Restricted Optimal Rubbling of Graphs

Algorithms for Finding a Minimum Dominating Set

Fun Problems for Planar Graphs

Rhombus tiling of even-sided polygons and quardangulations on the projective plane

Towards a Characterization of Graphs with Distinct Betweenness Centralities

Graph Dimension and a Quick Extremal Problem

A New Look at Bipartite Ramsey Numbers

Rainbow-Cycle-Forbidding Edge Colorings of Complete Multipartite Graphs,
with the Maximum Possible Number of Colors Appearing

Relations between consecutive Catalan monoids

Search games and optimal Kakeya sets

Random walks and typical distances in Ramanujan graphs, and the overhang problem

Rainbow Spanning Trees in Properly Edge-Colored Graphs

Labelled Path Systems

On list backbone coloring of graphs

Skewness, Colorings and Cliques

Some parameters of a class of codes on algebraic graphs

Vizing-type bounds for graphs with forbidden induced subgraphs

Distance-k Edge-Balance Index Sets of Extended Star Graphs

Routing on the Hypercube with Blocking/Faulty Nodes

Special Divisors of n^k +1

On cyclic decompositions of complete digraphs into antidirected cycles

Sequences of Integers with Three Missing Separations

Efficient Domination

On a Class of Signless Laplacian Integral Multigraphs

New successor rules for constructing De Bruijn sequences

On Functions Inducing Proper Vertex Colorings Via Edge Weightings

On the chromatic number of 2K₂-free graphs

Towards the Reconstruction of Decomposable Ordered Sets?

Modeling Dynamics of Gene Networks

On largest reduced neighborhood clique cover number

Counting Graph Homomorphisms Involving Complete Graphs

On a Conjecture on Spanning Trees with few Branch Vertices

The x-fold spectra of several multigraphs on 4 vertices with 6 edges and edge  multiplicity at most 2

Strong Matching Preclusion of Arrangement Graphs

Maximal and minimal chains of graph and hypergraph parameters

Planer graphs without cycle of length 4 or 5 are (3, 5)-colorable

Treewidth Bounds for Planar Graphs

On Some Indiscretions of the Mathematical Community

Forbidden Configurations and Forbidden Families

Optimal algebraic manipulation detection codes and difference families

Polynomial Chebyshev Quotients, Combinatorially

On Balance Index Sets of k-level Wheel Graphs

Excursions into Graph-theoretic Domination

A Variant on the Feline Josephus Problem

L(4, 3, 2, 1)-labeling of certain trees

Dual Hyperovals from Commutative Presemifields

On the solution space of the Golomb recursion

Arcs, Caps and Codes: Old Results, New Results, Generalizations

Saturation Number and Saturation Spectrum of Brooms

On Edge-Balance Index Sets of L-Product of Cycles and Stars Connected by
Leaves

On f-pyramidal Steiner triple systems

Finding Balance: Split Graphs and Related Classes

A result in asymmetric Euclidean Ramsey theory

Computation of Graph Vulnerability Measures and Topological Indices

Simple t-designs: recursive construction methods for arbitrary t

Efficient Parallel Strategies for Hanoi Games

Growth rates of permutations classes: from countable to uncountable

On combinatorial games and super tic-tac-toe

Pattern packing: questions and observations

Using Bipartite Networks to Construct Personal Recommendation Systems

On bounce-free rational lattice paths

The Hall spectrum of a graph can have non-consecutive zeros

Strict inequalities between bond percolation thresholds of Archimedean lattices

The Game of Thrones

A survey of flow network applications

The Edge Cover Reliability Polynomial of a Graph

Weighted Distance-Two Edge-Balance Index Sets of Cycle Graphs

An Evolutionary Framework for Analyzing the Distance Preserving Property of Weighted Graphs

  On 1-Hamiltonian line graphs of claw-free graphs

A characterization of cycle-forced bipartite graphs

Spectral Features of Graphs Associated with the Geez Writing System

Treelike Snarks

Some construction of cluttered orderings for the complete bipartite graph

On Automorphism Group Action and topological indices for Certain Families of Dendrimers

A Survey of LeRoy Beasley’s Work on Matrix Rank Comparison

Combinatorial Orthogonal Graphs

A Function Associated with the Hall Ratio

Zero-Reducible Graphs and the Konig Property

Clique Covering Numbers and Linear Preservers

Tiling with Fibonomials, q-binomials, and Chebyshev polynomials

Mathemagics: Secrets of Mental Math

Regular Packings in PG(3, 5)

MegaMenger Graphs

On Restricted Words and Colored Compositions

Group-theoretic cryptography and the Algebraic Eraser

Non-overlapping codes

Linear Polyomino Achievement

Minimum Rank of Graphs with Loops

Isolation Number, Boolean Rank, and the Duality Gap

  Cactus Based Out Tournament Adjacency Matrix Ranks

Counting the Patterns of DNA Rearrangement

Cycle Counting in an Infinite State Graph

New 2-edge-Balanced Graphs

Cash Nim on three Piles

Matching preclusion and conditional matching preclusion problems for the folded Petersen cube

Total Chromatic Numbers of Graphs

Robustly Hosting Applications

Further Contributions to Factorial Designs of Resolution Ten and Balanced Arrays of Strength Nine

Bin Packing with Multiple Colors

On Extending Hansel’s Theorem to Complete Hypergraphs

On a Frobenius Problem for Polynomials

  The Metamorphosis of 2-fold Triple Systems into Maximum Packings of 2Kn with

4-cycles

Chorded Pancyclicity

Hamiltonian Circuits in Cayley Digraphs on Cyclic Groups

The Edge-Connectivity of the Square of a Graph

Trust-Based Social Recommender Networks

On the 6-Cordiality of Trees

Counting Sets of Mutually Orthogonal Class-r Hypercubes

The *-Operator for Misère Subtraction Games

On the Roots of Tribonacci-type Polynomials

Unique Watchman’s Walks

Realizability of n-vertex graphs with prescribed vertex and edge connectivity and minimum and maximum degree II

On the Rank-unimodality of b-ary Partitions

The Polynomial Euclidean Algorithm and the Linear Equation AX + BY = gcd(A, B)

Embeddings of Cartesian Products of Two Regular Graphs

The Regular and Misere form of Edge Nim on Trees

Characterizing Almost-planar Graphs

Well-covered Split Graph Characterization

Edge Cut Domination in Graphs

Reversed Dickson Polynomials of the Third Kind

Stability of the Potential Function

Component Connectivity of a Graph

Radio Number for Eighth Power Paths

Regular Handicap Tournaments of Odd Order

The Abelian Sandpile Model and its Avalanche Polynomial

On (Kt − e)-Saturated Graphs

A connection between integer compositions and Dyck paths

On the Ring of Algebraic Integers of Cyclotomic Subfields

Degree Sum and Vertex Dominating Paths

New Upper Bounds on the Distance Domination Numbers of Grids

Compositions with Descents at Odd Numbered Plus Signs

A Problem in Extremal Set Theory

Cycle Switching and Decompositions into Paths

Erdoes-Turan Type Numbers for Cube Graphs

Matchings in Hypergraphs

Edge Colouring Multigraphs

Sums of subsets of GF(2r) and applications to the q-ary partial erasure channel

Data Identification for Unique Algebraic Model

An extension of Beineke to the Prototype Representation P(3, 1)

On Reliability Models Associated with the Edge Domination Number for Unicycles

  Keeping your Distance is Hard 

Cospectral Graphs for the Normalized Laplacian by “Toggling”

Distance Spectra

Generalizations of the Strong Arnold Property and the Inverse Eigenvalue Problem of a Graph

Extreme Villainy

Proper Diameter of Edge-Colored Graphs

Cognitive Resource Allocation Graph (CRAG): A Graph Representation of Human Cognitive Resources

Dimension and Representation Number of Hypercube

Switched Subgraphs of the Symplectic Graph

New LS [3} [2, 3, 2 ⁸ ] Geometric Large Sets

Degrees and Trees

Choose Multichoose

Some New Results on the Conjecture on APN Functions and Absolutely Irreducible Polynomials

An Extremal Problem Concerning Vertex Covers

Complexity of Finding Maximum Region Disjoint Paths in a Directed Graph

On the Values of Independence Polynomials at  -1

A New Generating Function for Counting Zeroes of Polynomials

N-flips and chromatic number in even triangulations on the projective plane

Upper bound graphs of posets

Edge Spreading in Spatially-Coupled LDPC Codes

Strong matching preclusion of (n, k)-star graphs

Rainbow Connection Number Two and Clique Number

Graphs Obtained from Collections of d-Dimensional Blocks

Rainbow Partitions and Rainbow Polynomial

Vertex-Cut Domination in Graphs

Spectrum of the Szlam Numbers of the Plane

A Stock Analysis Turns Least-Squares Turns Maximum Cut of a Graph

Even orientations of graphs

On the Structure of Nonnegative Matrices with a Given Spectrum

Mixed Unit Interval Graphs, 50% Tolerance Graphs, and Boolean Endpoints

Combinatorial Nullstellensatz and Antimagic Labelings

Connectivity Parmeters in Graphs

Modular Leech Trees of Order at most 9

Edge Colorings of Graphs Without Rainbow-Subgraphs

Parallel Moves in Hanoi Games on Graphs: Every Parallel Hanoi Graph is a Sequential Hanoi Graph

Maximum Rectilinear Crossing Number for Game Board Graphs

Inducibility of Short Cycles

Odd cycle zero forcing parameters and the minimum rank problem

Domination and Irredundance for Independence Systems

Easy Luckless Graphical Minesweeper

Mutually Orthogonal Rectangular Gerechte Designs

Friendly Index Sets of n-galaxies

 A Characterization of Simple, K4 -Free Near Outer-Planar Graphs

The Distance Signatures of the Incidence Graphs of Affine Resolvable Designs

Radio Number for Eighth Power Paths

Covering Arrays on Product Graphs

Classification of families of pr- and epr-sequences

The Calkin-Wilf Tree

Edge Rotations in Triangulations on the Sphere

Oriented Book Embeddings

Cordial Sets of Hypercubes

Property-Preserving Poset Embeddings into Z n

Radio Number for Eighth Power Paths

The Competition Graph of a Local Tournament

Permutations as solutions of linear Diophantine equations and magic squares

A Generalization of Edgesum Problem

Permanent ranks of matrices and generalized cycles of graphs

Choosability with Union Separation

Some Open Problems Related to Finite Fields and Their Applications

Vertex degree condition for a 1-binding graph to contain a 1-factor

Pebbling on a class of semilattices

Multicoloured Containers and Graphon Entropy (Part I)

Evacuation Problem: a Generalization of Search Problems

On the solution of  J ^x _α  =  J ^y _β  and reduced  linear  modular systems

Algebraic Symmetries of Generic Multidimensional Periodic Costas Arrays and their importance in the enumeration of Multidimensional Periodic Sonar Arrays

Explicit Formulas for Monomial Involutions Over Finite Fields

Rainbow Spanning Trees in Edge-Colored Complete Graphs

A Note on the Skewness of a Graph

Some Properties of Acyclic Heaps of Pieces

Almost All 5-Regular Graphs Have A 3-Flow

Special Families of Prototiles

Graphs Represented by Extended Diagonal Matrices

Link Prediction in Graphs with Side Information

Analysis of Multidimensional Periodic Arrays

Refined Turan numbers and Ramsey numbers for the loose 3-uniform path of length three

Degree Sequences of Partial 2-trees

A Spanning -Tree Increasing Surgery for Proper Threshold Graphs

Howard University

Non-Crossing Partitions in Binary, Ordered and Motzkin Trees

Technische Universitat Bergakademie Freiberg, Germany

Chromatic number of P5-free graphs: x-binding functions

Prime Labelings of Generalized Petersen Graphs and Large Cubic Bipartite Graphs

Unitary Anti-Van der Waerden Number of Arithmetic Progressions

Maximal Size of Sperner Families with a 3-Union Condition

Realizability of n-vertex graphs with prescribed vertex and edge connectivity and minimum and maximum degree III

k-domination in the Intersection Graph of Geometric Objects

Hamiltonian Laceability in Cubic Bipartite Graphs

Hamilton-Laceable Properties of Polygonal bigraphs

The Poset on Connected Graphs is Sperner

Some Bicyclic Antiautomorphisms of Mendelsohn Triple Systems

The Scholar and the State: From the Third Reich to Today in Fool’s Gold of Silence 

Palindromes with Forbidden Substrings

Multicoloured Containers and Graphon Entropy (Part II)

On Reliability Models Associated with the Edge Domination Number for Trees

Graph Convexity Parameters: Complexity and Applications

Non-Monotonic Solutions to Nested Recursions: A Combinatorial Approach

A secret sharing scheme based on the polynomial ring over a finite field

Saturation Spectrum of Trees

On the Erdos-Sos Conjecture for graphs with diameter at most k + 2

Unparalleled even cycle systems

Constructing Covering Arrays from m-Sequences

Bounds for Topological Indices of Molecular Graphs

Introduction to Pairwise Testing. Definition and Examples

Decycling Toeplitz Graphs, Some Subgraphs, and Generalized Petersen Graphs

Trees for Given Values of the Span, Caps and Icaps for L(2, 1)-Colorings

Counting Connected Sets and Connected Partitions of a Graph

 Sum choice number of generalized  0-graphs

Partitions and compositions over finite fields

On the Ratio of Domination and Independent Domination Number

When You Need a Quasigroup with a Hole of Size 4, 6, or 8

Pandiagonal Multimagic Squares Based on Large Sets of Orthogonal Arrays

From Dyck Paths Colored by Connected Matchings to Standard Young Tableau

Rigorous bounds relating bond percolation thresholds of two three-dimensional lattices

Knitting Numbers

Dimension of a Lobster

Uniform Optimality Results for Unicycles in the Neighbor Component Order  Edge Connectivity Network Model

Quadrangulations on the projective plane with K3,4-minors

Lower Bounds for the Exponential Domination Number of Cm × Cn

Exact Enumeration of Self-Avoiding Walks on Non-vertex-transitive Lattices

Relaxed Coloring of Planar Graphs

Georgia Institute of Technology

On the Kelmans-Seymour conjecture