Graphs and Combinatorics

Article	Citations
A (2, 1)-Decomposition of Planar Graphs Without Intersecting 3-Cycles and Adjacent $$4^-$$-Cycles	18
Erdős–Gyárfás conjecture for $$P_8$$-free graphs	11
The Eulerian Distribution on the Fixed-Point Free Involutions of the Hyperoctahedral Group Under the Natural Order	10
Disjoint Edges in Geometric Graphs	9
Large Rainbow Matchings in Edge-Colored Graphs with Given Average Color Degree	9
A Conjecture on Different Central Parts of Binary Trees	9
Existential Closure in Line Graphs	9
The Existence of a Path with Two Blocks in Digraphs	8
The Conflict-Free Vertex-Connection Number and Degree Conditions of Graphs	8
Odd Induced Subgraphs in Planar Graphs with Large Girth	8
The Sandpile Group of Polygon Rings and Twisted Polygon Rings	7
Hamiltonian Paths and Cycles in Some 4-Uniform Hypergraphs	7
Injective Split Systems	7
Odd-Even Factors of Graphs	7
Higher-dimensional counterexamples to Hamiltonicity	7
Results and Problems on Chorded Cycles: A Survey	7
On the Ohba Number and Generalized Ohba Numbers of Complete Bipartite Graphs	6
On Some Subclasses of Oriented Catch Digraphs	6
A generalization of a theorem of Nash-Williams	6
An equitable partition for the distance-regular graph of the bilinear forms	6
Coloring Graphs in Oriented Coloring of Cubic Graphs	6
Improved Lower Bounds on the Extrema of Eigenvalues of Graphs	6
Perfect One-Factorizations Arising from the Lee Metric	5
The Cordiality Game and the Game Cordiality Number	5
On Rainbow Quadrilaterals in Colored Point Sets	5

Double Coalitions in Regular Graphs	5
Injective Edge-Coloring of Graphs with Small Weight	5
Intersection Graphs of Maximal Sub-polygons of k-Lizards	5
On the Cut-Vertex and the Interval Transit Functions of Hypergraphs	5
Strong List-Chromatic Index of Planar Graphs with Ore-Degree at Most Seven	5
Isolation Game on Graphs	5
Planar Graphs with the Maximum Number of Induced 4-Cycles or 5-Cycles	5
$$K_{1,2,2,2}$$ has no n-fold planar cover for $$n<14$$	5
2-Reducible Two Paths and Two Edges Constructing a Cycle in $$(2k+1)$$-Edge-Connected Graphs	5
Minimally k-Factor-Critical Graphs for Some Large k	5
On Non-degenerate Berge–Turán Problems	4
Tighter Bounds on Directed Ramsey Number R(7)	4
Packing and Covering Triangles in Bilaterally-Complete Tripartite Graphs	4
Vertex-Disjoint Cycles of Different Lengths in Local Tournaments	4
Kissing Numbers for Balls with Varying Radii	4
Ramsey Numbers and Graph Parameters	4
The Eulerian Distribution on k-Colored Involutions	4
New Results on k-independence of Hypergraphs	4
An Efficient Algorithm to Compute the Toughness in Graphs with Bounded Treewidth	4
Semi-strict Chordality of Digraphs	4
Injectively $$k$$-Colored Rooted Forests	3
Fixing Numbers of Graphs with Symmetric and Generalized Quaternion Symmetry Groups	3
A Classification of Hyperfocused 12-Arcs	3
On Generalized Turán Number of Two Disjoint Cliques	3
Anti-Ramsey Numbers of Loose Paths and Cycles in Uniform Hypergraphs	3
Visibility in Hypercubes	3
Constructions of Sarvate-Beam Group Divisible Designs	3
Proof of a conjecture of Xiao and Zamora	3
On the Equitable Choosability of the Disjoint Union of Stars	3
A Note on Sullivan’s Second Neighborhood Conjecture	3
Extremal Graphs for Widom–Rowlinson Colorings in k-Chromatic Graphs	3
The Ramsey Number for a Forest Versus Disjoint Union of Complete Graphs	3
Canonical Binary $$\Delta $$-Matroids	3
On Well-Edge-Dominated Graphs	3
On Generalized Turán Numbers of Intersecting Cliques	3
Maxima of the Q-Spectral Radius of $$C_3$$ ($$C_4$$)-Free Graphs with Given Size and Minimum Degree $$\delta \ge 2$$	3
Path Saturation Game on Six Vertices	3
Graphs with Positive Ricci Curvature	3
Dimension of Restricted Classes of Interval Orders	3
Homotopy and Hom Construction in the Category of Finite Hypergraphs	3
A Note on Coloring $$(4K_1, C_4, C_6)$$-Free Graphs with a $$C_7$$	3
New Tools to Study 1-11-Representation of Graphs	3
Perfect Pseudo-Matchings in Cubic Graphs	3
Closed Neighborhood Balanced Coloring of Graphs	3
On the Size of $$(K_t, P_k)$$-Co-Critical Graphs	3
Connected Matchings in Graphs with Independence Number Two	3
Partition and Disjoint Cycles in Digraphs	3
Regular Hypermaps with the Automorphism Group $$\hbox {PSL}(3,p)$$	2
Prime Sum Graphs and the Induced Trees They Contain	2
Correction to: Harmonic Index t-Designs in the Hamming Scheme for Arbitrary q	2

Star-Critical Ramsey Numbers Involving Large Generalized Fans	2
Correction to: Every Cubic Bipartite Graph has a Prime Labeling Except $$K_{3,3}$$	2
Frames and Doubly Resolvable Group Divisible Designs with Block Size Three and Index Two	2
The $$p-$$Arboricity of Outerplanar Graphs	2
Odd coloring of signed graphs	2
Isolation of Connected Graphs in Terms of Size	2
A Classification of Disconnected Graphs with Exactly One Cycle by Their Dot Product Dimension	2
On the Automorphisms of Token Graphs Generated by 2-cuts with the Same Neighbours	2
Conflict-Free Connection Number of Graphs with Four Bridges	2
Characterization of $$P_3\cup P_2$$-Equipackable Graphs with $$3m (m\ge 1)$$ Edges	2
On the structure of some classes of $$(P_{2}\cup P_{3})$$-free graphs	2
Note on Polychromatic Coloring of Hereditary Hypergraph Families	2
The Bounds of Rigid Sphere Design	2
Spanning Trees with Few Branch Vertices in a Chair-Free Graph	2
Correction: A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs	2
Borodin–Kostochka Conjecture Holds for Odd-Hole-Free Graphs	2
Weak-Dynamic Coloring of Graphs Beyond-Planarity	2
Partition Lattice with Limited Block Sizes	2
Claw-Free Solid Bricks	2
Correction to: The uvu-Avoiding (a, b, c)-Generalized Motzkin Paths with Vertical Steps: Bijections and Statistic Enumerations	2
Three-Color Ramsey Number of an Odd Cycle Versus Bipartite Graphs with Small Bandwidth	2
Partitioning Planar Graphs without 4-Cycles and 6-Cycles into a Linear Forest and a Forest	2
Euclidean 2-Designs as Stationary Points of Many-Body Systems	2
Some Statistics on Generalized Motzkin Paths with Vertical Steps	2
Exact Decompositions and Zero-Divisor Graphs	2
The Explorer–Director Game on Graphs	2
Total Coalitions in Claw-Free Cubic Graphs Containing Double-Bonded Triangle-Units	2
Ramsey Numbers of Multiple Copies of Graphs in a Component	2
Infinite Ramsey-Minimal Graphs for Star Forests	2
The Number of Copies of $$K_{2,t+1}$$ in a Graph	2
Word-Representation of Melon Graphs	2
Ramsey Numbers for Multiple Copies of Hypergraphs	2
On Independent Domination in Direct Products	2
Non-separating Spanning Trees and Out-Branchings in Digraphs of Independence Number 2	2
Dichromatic number of chordal graphs	2
Hamiltonian Cycles and Tight Cutsets	2
A Q-Polynomial Structure Associated with the Projective Geometry $$L_N(q)$$	2
On Flipping Edge Sets in Unique Sink Orientations	2
Correction to: On Reconfiguration Graphs of Independent Sets Under Token Sliding	2
A Simple Proof of Ore’s Theorem on the Maximum Size of k-connected Graphs with Given Order and Diameter	2
Difference Sets Disjoint from a Subgroup IV: The Skew Relative Cases with Added Symmetry	2
Injective Hulls of Various Graph Classes	2
Panconnectivity in Bipartite Graphs with Large Degree sum	2
Partitioning Complete Geometric Graphs on Dense Point Sets into Plane Subgraphs	2
Path Planning in a Weighted Planar Subdivision Under the Manhattan Metric	2
On the Spectra of Simplicial Rook Graphs	2
Thin Q-Polynomial Distance-Regular Graphs Have Bounded $$c_2$$	2
Emanation Graph: A Plane Geometric Spanner with Steiner Points	2
Multipermutations and Stirling Multipermutations	2
Upper Bounds on the Chromatic Polynomial of a Connected Graph with Fixed Clique Number	2
Integer Sequences Generated by the Determinants of Matrices Associated with Threshold Graphs	2
An Anti-Ramsey Theorem of k-Restricted Edge-Cuts	2
Topological Inductive Constructions for Tight Surface Graphs	2
Flip colouring of graphs	2
Optimal Chromatic Bound for ($$P_3\cup P_2$$, House)-Free Graphs	1
A Deletion–Contraction Relation for the DP Color Function	1
Extensions of Moon’s and Bagga and Beineke’s theorems on dicycle and score (outdegree) structures of tournaments	1
The Oriented Diameter of Graphs with Given Connected Domination Number and Distance Domination Number	1
An Upper Bound for the 3-Tone Chromatic Number of Graphs with Maximum Degree 3	1
Towards Optimal $$\chi $$-Binding Functions of ($$2K_1 \cup K_2$$)-Free Graphs and ($$P_3 \cup K_1$$)-Free Graphs	1
Algorithmic and structural results of directed Steiner path packing and directed path connectivity	1
Reconstruction of a Coloring from its Homogeneous Sets	1
Set Systems with Covering Properties and Low VC-Dimension	1
Partitioning Edge-Colored Graphs with Constrained Color Degrees	1
Intersection Numbers of Certain 2-Designs from Finite Fields	1
Veto Interval Graphs and Variations	1
A Spectral Condition for the Existence of the Square of a Path	1
Upper-embeddability and the decycling number of connected 4-regular graphs	1
A Construction of Optimal 1-Spontaneous Emission Error Designs	1
Critical Subgraphs of Schrijver Graphs for the Fractional Chromatic Number	1
The Odd Chromatic Number of a Planar Graph is at Most 8	1
Borodin–Kostochka’s Conjecture on $$\{P_2\cup P_3,C_4\}$$-Free Graphs	1
Neighborhood 3-Balanced Graphs	1
Some More Updates on an Annihilation Number Conjecture: Pros and Cons	1
A 2-Bisection with Small Number of Monochromatic Edges of a Claw-Free Cubic Graph	1
Non-chromatic-Adherence of the DP Color Function via Generalized Theta Graphs	1
Factors with Red–Blue Coloring of Claw-Free Graphs and Cubic Graphs	1
Proper Cycles and Rainbow Cycles in 2-triangle-free edge-colored Complete Graphs	1
Injective Edge-Colorings of $$K_4$$-Minor Free Graphs	1
Ortho-Unit Polygons can be Guarded with at most $$\left\lfloor \frac{n-4}{8} \right\rfloor $$ Guards	1

Injective Chromatic Index of $$K_4$$-Minor Free Graphs	1
Contractible Edges in Spanning Trees of 3-Connected Graphs	1
Loose Edge-Connection of Graphs	1
Generalized Turán Problems for Complete Bipartite Graphs	1
On Extremal Problems on Multigraphs	1
Ternary Extremal Four-Negacirculant Self-Dual Codes	1
On the Structure of a Smallest Counterexample and a New Class Verifying the 2-Decomposition Conjecture	1
On the Complexity of Local-Equitable Coloring in Claw-Free Graphs with Small Degree	1
On New Record Graphs Close to Bipartite Moore Graphs	1
Toroidal Cartesian Products Where One Factor is 3-Connected	1
Graph Profiles as Characters on Bicommutative Hopf Algebras	1
A Note on Additive Bases of Abelian Groups of Rank 2	1
When a Decomposable Tournament is $$\{-1,3\}$$-Reconstructible?	1
Matching Polytopes, Gorensteinness, and the Integer Decomposition Property	1
Upper Bounds for the List-Distinguishing Chromatic Number	1
Hamilton Paths in Dominating Graphs of Trees and Cycles	1
On the Number of Drawings of a Combinatorial Triangulation	1
Complexity of Near-3-Choosability Problem	1
Ramsey Numbers for Complete Graphs Versus Generalized Fans	1
All generalized rose window graphs are hamiltonian	1
Stability of Generalized Turán Number for Linear Forests	1
A New Connectivity Bound for a Tournament to be Highly Linked	1
Weighted Tutte–Grothendieck Polynomials of Graphs	1
Diameter Three Orientability of Mixed Bipartite Graphs	1
The Planar Turán Number of $$\{K_4,C_5\}$$ and $$\{K_4,C_6\}$$	1
Block-Transitive 3-Designs with Block Size At Most 6	1
Quaternionic 1-Factorizations and Complete Sets of Rainbow Spanning Trees	1
2-Nested Matrices: Towards Understanding the Structure of Circle Graphs	1
A note on strongly and totally chain intersecting families	1
Neighbor sum distinguishing index of $$K_4$$-minor free graphs	1
On Strict Brambles	1
Strongly Regular Graphs from Pseudocyclic Association Schemes	1
Region Crossing Change on Plane Trivalent Graphs	1
Correction: Callan permutations and odd order permutations	1
On the Fixing Sets of Finite Groups	1
Hamiltonian Cycles Avoiding a Spanning Forest or a Spanning Cycle Subgraph in Tournaments	1
Dynamic Cycles in Edge-Colored Multigraphs	1
Coefficients of the Matching Polynomial of a Self-Complementary Graph	1
On the Linear Arboricity of Graphs with Treewidth at Most Four	1
Projective dimension and regularity of 3-path ideals of unicyclic graphs	1
Structure and Coloring of a Family of ($$P_7, C_5$$)-Free Graphs	1
The burning number conjecture holds for trees of order n with at most $$\left\lfloor \sqrt{n-1}\right\rfloor $$ degree-2 vertices	1
A Note on Internal Partitions: The 5-Regular Case and Beyond	1
Regular generalized cayley maps of elementary abelian p-groups	1
The Generalized Motzkin Family	1
On Restricted Intersections and the Sunflower Problem	1
The Connectedness of the Friends-and-Strangers Graph of a Lollipop and Others	1
Four-vertex traces of finite sets	1
A note on vertex Turán problems in the Kneser cube	1
Fusions of the generalized Hamming scheme on a strongly-regular graph	1
Maximum Rectilinear Crossing Number of Uniform Hypergraphs	1
Strong Arboricity of Graphs	1
The Generalized Terwilliger Algebra of the Hypercube	1
Mutually Orthogonal Sudoku Latin Squares and Their Graphs	1
A Note on Shortest Sign-Circuit Cover of Signed 3-Edge-Colorable Cubic Graphs	1
A Matrix for Counting Paths in Acyclic Colored Digraphs	1
Characterization of (m, n)-Linked Planar Graphs	1
Almost Intersecting Families for Vector Spaces	1
On Tutte Cycles Containing Three Prescribed Edges	1
Edge-Disjoint Steiner Trees and Connectors in Graphs	1
Automorphism Groups of 2-Token Graph of Cartesian Product of Two Cycles	1
Some Results on Berge’s Conjecture and Begin–End Conjecture	1
An Exponential Bound for Simultaneous Embeddings of Planar Graphs	1
Rainbow Hamiltonicity with large edge numbers	1
New Counterexamples to a Conjecture by Woodall on Graph Minors and List Coloring	1
Isomorphisms and Properties of TAR Graphs for Zero Forcing and Other X-set Parameters	1
Integral and rational graphs in the plane	1
On Intersection Graphs of Spherical Caps	1