GRAPHS AND COMBINATORICS

A Monodromy Graph Approach to the Piecewise Polynomiality of Simple, Monotone and Grothendieck Dessins d’enfants Double Hurwitz Numbers

Ehrhart Polynomials with Negative Coefficients

Graph Edge Coloring: A Survey

The Full Automorphism Groups, Determining Sets and Resolving Sets of Coprime Graphs

Spectral Extremal Results with Forbidding Linear Forests

Price of Connectivity for the Vertex Cover Problem and the Dominating Set Problem: Conjectures and Investigation of Critical Graphs

Special LCD Codes from Peisert and Generalized Peisert Graphs

Snarks with Special Spanning Trees

The Minimum Asymptotic Density of Binary Caterpillars

Edge-Primitive Graphs of Prime Power Order

Lower Bounds on the Uniquely Restricted Matching Number

The Cyclic Edge-Connectivity of Strongly Regular Graphs

On Upper Total Domination Versus Upper Domination in Graphs

Rigid Cylindrical Frameworks with Two Coincident Points

LDPC Codes from $$\\mu $$μ-Geodetic Graphs Obtained from Block Designs

Competition Numbers and Phylogeny Numbers: Uniform Complete Multipartite Graphs

A Structure of 1-Planar Graph and Its Applications to Coloring Problems

Bounds on the Identifying Codes in Trees

Cut-Colorings in Coloring Graphs

Bijections of Motzkin Paths Using Shifted Riordan Decompositions

On rigidity of unit-bar frameworks

Independent Domination in Bipartite Cubic Graphs

$$(-1)$$(-1)-Hypomorphic Graphs with the Same 3-Element Homogeneous Subsets

Optimal Multiply Constant-weight Codes from Generalized Howell Designs

Forbidden Pairs for Equality of Connectivity and Edge-Connectivity of Graphs

Improved Bounds for Guarding Plane Graphs with Edges

Complex Hadamard Matrices Attached to a 3-Class Nonsymmetric Association Scheme

Critical Kernel Imperfect Problem in Generalizations of Bipartite Tournaments

On Rooks, Marriages, and Matchings or Steinhaus via Hall

Pancyclicity of 4-Connected $$\\{K_{1,3},Z_8\\}$${K1,3,Z8}-Free Graphs

On the Non-Existence of srg(76, 21, 2, 7)

On a Question of van Aardt et al. on Destroying All Longest Cycles

Cayley Digraphs Associated to Arithmetic Groups

Weighted Domination of Independent Sets

Trapezoids and Deltoids in Wide Planar Point Sets

Characterizations of the Simple Non-Confusing Travel Groupoids on a Finite Graph

Degree Conditions for Graphs to Have Spanning Trees with Few Branch Vertices and Leaves

Spanning Eulerian Subgraphs of Large Size

Rooted Complete Minors in Line Graphs with a Kempe Coloring

Every Cubic Bipartite Graph has a Prime Labeling Except $$K_{3,3}$$K3,3

Hamiltonian Spectra of Graphs

The Ramsey Numbers of Trees Versus Generalized Wheels

Difference Sets Disjoint from a Subgroup

Constructing 2-Arc-Transitive Covers of Hypercubes

Further Results on Existentially Closed Graphs Arising from Block Designs

Exceptional Balanced Triangulations on Surfaces

On the Sizes of Vertex-k-Maximal r-Uniform Hypergraphs