Graphs and Combinatorics

Article	Citations
A (2, 1)-Decomposition of Planar Graphs Without Intersecting 3-Cycles and Adjacent $$4^-$$-Cycles	14
Erdős–Gyárfás conjecture for $$P_8$$-free graphs	13
Injective Split Systems	10
The Existence of a Path with Two Blocks in Digraphs	9
Existential Closure in Line Graphs	9
The Eulerian Distribution on the Fixed-Point Free Involutions of the Hyperoctahedral Group Under the Natural Order	9
Monotonic Normalized Heat Diffusion for Regular Bipartite Graphs with Four Eigenvalues	8
Super Graphs on Groups, I	8
The Sandpile Group of Polygon Rings and Twisted Polygon Rings	8
Neighborhood Complexes, Homotopy Test Graphs and an Application to Coloring of Product Graphs	8
Hamiltonian Paths and Cycles in Some 4-Uniform Hypergraphs	7
A Conjecture on Different Central Parts of Binary Trees	7
Large Rainbow Matchings in Edge-Colored Graphs with Given Average Color Degree	7
Disjoint Edges in Geometric Graphs	7
Odd Induced Subgraphs in Planar Graphs with Large Girth	7
The Ihara-Zeta Function and the Spectrum of the Join of Two Semi-Regular Bipartite Graphs	6
Stability on Matchings in 3-Uniform Hypergraphs	6
Embedding Grid Graphs on Surfaces	6
Coloring Graphs in Oriented Coloring of Cubic Graphs	6
Odd-Even Factors of Graphs	6
The Conflict-Free Vertex-Connection Number and Degree Conditions of Graphs	6
On Rainbow Quadrilaterals in Colored Point Sets	6
Results and Problems on Chorded Cycles: A Survey	6
Improved Lower Bounds on the Extrema of Eigenvalues of Graphs	5
Intersection Graphs of Maximal Sub-polygons of k-Lizards	5

The Cordiality Game and the Game Cordiality Number	5
2-Reducible Two Paths and Two Edges Constructing a Cycle in $$(2k+1)$$-Edge-Connected Graphs	5
On Some Subclasses of Oriented Catch Digraphs	5
A generalization of a theorem of Nash-Williams	5
Planar Graphs with the Maximum Number of Induced 4-Cycles or 5-Cycles	5
On the Cut-Vertex and the Interval Transit Functions of Hypergraphs	5
Minimally k-Factor-Critical Graphs for Some Large k	5
Perfect One-Factorizations Arising from the Lee Metric	5
Strong List-Chromatic Index of Planar Graphs with Ore-Degree at Most Seven	5
Injective Edge-Coloring of Graphs with Small Weight	5
Vertex-Disjoint Cycles of Different Lengths in Local Tournaments	5
Semi-strict Chordality of Digraphs	4
Group-Annihilator Graphs Realised by Finite Abelian Groups and Its Properties	4
On the Proper Arc Labeling of Directed Graphs	4
Kissing Numbers for Balls with Varying Radii	4
New Tools to Study 1-11-Representation of Graphs	4
On Non-degenerate Berge–Turán Problems	4
The Two-Eyes Lemma: A Linking Problem for Table-Top Necklaces	4
Packing and Covering Triangles in Bilaterally-Complete Tripartite Graphs	4
New Results on k-independence of Hypergraphs	4
An Efficient Algorithm to Compute the Toughness in Graphs with Bounded Treewidth	4
The Eulerian Distribution on k-Colored Involutions	4
Tighter Bounds on Directed Ramsey Number R(7)	4
The Family of Bicircular Matroids Closed Under Duality	4
On the Maximum Number of Non-attacking Rooks on a High-Dimensional Simplicial Chessboard	3
Ramsey Numbers and Graph Parameters	3
On Well-Edge-Dominated Graphs	3
Perfect Pseudo-Matchings in Cubic Graphs	3
Graphs with Positive Ricci Curvature	3
Maxima of the Q-Spectral Radius of $$C_3$$ ($$C_4$$)-Free Graphs with Given Size and Minimum Degree $$\delta \ge 2$$	3
Injectively $$k$$-Colored Rooted Forests	3
Fixing Numbers of Graphs with Symmetric and Generalized Quaternion Symmetry Groups	3
On Generalized Turán Number of Two Disjoint Cliques	3
Canonical Binary $$\Delta $$-Matroids	3
A Classification of Hyperfocused 12-Arcs	3
Homotopy and Hom Construction in the Category of Finite Hypergraphs	3
Anti-Ramsey Numbers of Loose Paths and Cycles in Uniform Hypergraphs	3
Ramsey Numbers of 5-Uniform Loose Cycles	3
A Note on Coloring $$(4K_1, C_4, C_6)$$-Free Graphs with a $$C_7$$	3
Double Coalitions in Regular Graphs	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
On Generalized Turán Numbers of Intersecting Cliques	3
Closed Neighborhood Balanced Coloring of Graphs	3
Exact Decompositions and Zero-Divisor Graphs	2
Panconnectivity in Bipartite Graphs with Large Degree sum	2
Conflict-Free Connection Number of Graphs with Four Bridges	2
A Q-Polynomial Structure Associated with the Projective Geometry $$L_N(q)$$	2
Multipermutations and Stirling Multipermutations	2
On Maximal Det-Independent (Res-Independent) Sets in Graphs	2

The Bounds of Rigid Sphere Design	2
Partitioning Planar Graphs without 4-Cycles and 6-Cycles into a Linear Forest and a Forest	2
Injective Hulls of Various Graph Classes	2
Difference Sets Disjoint from a Subgroup IV: The Skew Relative Cases with Added Symmetry	2
On Independent Domination in Direct Products	2
Correction to: Every Cubic Bipartite Graph has a Prime Labeling Except $$K_{3,3}$$	2
Constructions of Sarvate-Beam Group Divisible Designs	2
On the 3-Color Ramsey Numbers $$R(C_4,C_4,W_{n})$$	2
Correction to: The uvu-Avoiding (a, b, c)-Generalized Motzkin Paths with Vertical Steps: Bijections and Statistic Enumerations	2
Diameter of Io-Decomposable Riordan Graphs of the Bell Type	2
Partition and Disjoint Cycles in Digraphs	2
Isolation of Connected Graphs in Terms of Size	2
On the Size of $$(K_t, P_k)$$-Co-Critical Graphs	2
Some Statistics on Generalized Motzkin Paths with Vertical Steps	2
Borodin–Kostochka Conjecture Holds for Odd-Hole-Free Graphs	2
Flip colouring of graphs	2
Infinite Ramsey-Minimal Graphs for Star Forests	2
An Anti-Ramsey Theorem of k-Restricted Edge-Cuts	2
The $$p-$$Arboricity of Outerplanar Graphs	2
Topological Inductive Constructions for Tight Surface Graphs	2
Claw-Free Solid Bricks	2
Dimension of Restricted Classes of Interval Orders	2
Path Saturation Game on Six Vertices	2
H-Kernels by Walks	2
Correction to: Harmonic Index t-Designs in the Hamming Scheme for Arbitrary q	2
Correction: A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs	2
On the Equitable Choosability of the Disjoint Union of Stars	2
A Class of Cubic Graphs Satisfying Berge Conjecture	2
The Explorer–Director Game on Graphs	2
The Turán Numbers of Special Forests	2
Path Planning in a Weighted Planar Subdivision Under the Manhattan Metric	2
Ramsey Numbers for Multiple Copies of Hypergraphs	2
On Sufficient Conditions for Planar Graphs to be 5-Flexible	2
Hamiltonian Cycles and Tight Cutsets	2
Non-separating Spanning Trees and Out-Branchings in Digraphs of Independence Number 2	2
Weak-Dynamic Coloring of Graphs Beyond-Planarity	2
Weighted Dyck Paths with Special Restrictions on the Levels of Valleys	2
Correction to: On Reconfiguration Graphs of Independent Sets Under Token Sliding	2
A Note on Extremal Digraphs Containing at Most t Walks of Length k with the Same Endpoints	2
A Note on Sullivan’s Second Neighborhood Conjecture	2
Note on Polychromatic Coloring of Hereditary Hypergraph Families	1
Dynamic Cycles in Edge-Colored Multigraphs	1
Quaternionic 1-Factorizations and Complete Sets of Rainbow Spanning Trees	1
Mutually Orthogonal Sudoku Latin Squares and Their Graphs	1
Upper Bounds for the List-Distinguishing Chromatic Number	1
Ortho-Unit Polygons can be Guarded with at most $$\left\lfloor \frac{n-4}{8} \right\rfloor $$ Guards	1
On Strict Brambles	1
A Construction of Optimal 1-Spontaneous Emission Error Designs	1
Matching Polytopes, Gorensteinness, and the Integer Decomposition Property	1
An Exponential Bound for Simultaneous Embeddings of Planar Graphs	1
On the Fixing Sets of Finite Groups	1
On ($$1,C_4$$) One-Factorization and Two Orthogonal ($$2,C_4$$) One-Factorizations of Complete Graphs	1
Hypergraph Based Berge Hypergraphs	1
Proper Cycles and Rainbow Cycles in 2-triangle-free edge-colored Complete Graphs	1
Ramsey Numbers for Complete Graphs Versus Generalized Fans	1
Diameter Three Orientability of Mixed Bipartite Graphs	1
Strong Arboricity of Graphs	1
Characterization of $$P_3\cup P_2$$-Equipackable Graphs with $$3m (m\ge 1)$$ Edges	1
Region Crossing Change on Plane Trivalent Graphs	1
Towards Optimal $$\chi $$-Binding Functions of ($$2K_1 \cup K_2$$)-Free Graphs and ($$P_3 \cup K_1$$)-Free Graphs	1
A Note on the Turán Number of an Arbitrary Star Forest	1
2-Nested Matrices: Towards Understanding the Structure of Circle Graphs	1
Reconstruction of a Coloring from its Homogeneous Sets	1
Ramsey Numbers of Multiple Copies of Graphs in a Component	1
Injective Chromatic Index of $$K_4$$-Minor Free Graphs	1
Almost Intersecting Families for Vector Spaces	1
On the Linear Arboricity of Graphs with Treewidth at Most Four	1
Set Systems with Covering Properties and Low VC-Dimension	1
Integral and rational graphs in the plane	1
Graph Profiles as Characters on Bicommutative Hopf Algebras	1
Star-Critical Ramsey Numbers Involving Large Generalized Fans	1
On New Record Graphs Close to Bipartite Moore Graphs	1
On Properties of Pebble Assignment Graphs	1
A Simple Proof of Ore’s Theorem on the Maximum Size of k-connected Graphs with Given Order and Diameter	1
A Note on Stability for Maximal F-Free Graphs	1
Isomorphisms and Properties of TAR Graphs for Zero Forcing and Other X-set Parameters	1
Regular Hypermaps with the Automorphism Group $$\hbox {PSL}(3,p)$$	1
On the Structure of a Smallest Counterexample and a New Class Verifying the 2-Decomposition Conjecture	1
A 2-Bisection with Small Number of Monochromatic Edges of a Claw-Free Cubic Graph	1
Complexity of Near-3-Choosability Problem	1

On the structure of some classes of $$(P_{2}\cup P_{3})$$-free graphs	1
An Upper Bound for the 3-Tone Chromatic Number of Graphs with Maximum Degree 3	1
Characterization of (m, n)-Linked Planar Graphs	1
Veto Interval Graphs and Variations	1
A Note on Internal Partitions: The 5-Regular Case and Beyond	1
Borodin–Kostochka’s Conjecture on $$\{P_2\cup P_3,C_4\}$$-Free Graphs	1
A Spectral Condition for the Existence of the Square of a Path	1
Systems of Overlap Representation for Families of Intervals	1
Critical Subgraphs of Schrijver Graphs for the Fractional Chromatic Number	1
On Restricted Intersections and the Sunflower Problem	1
The Oriented Diameter of Graphs with Given Connected Domination Number and Distance Domination Number	1
Structure and Coloring of a Family of ($$P_7, C_5$$)-Free Graphs	1
On the Spectra of Simplicial Rook Graphs	1
A Note on Shortest Sign-Circuit Cover of Signed 3-Edge-Colorable Cubic Graphs	1
The Planar Turán Number of $$\{K_4,C_5\}$$ and $$\{K_4,C_6\}$$	1
Emanation Graph: A Plane Geometric Spanner with Steiner Points	1
The Generalized Terwilliger Algebra of the Hypercube	1
Ternary Extremal Four-Negacirculant Self-Dual Codes	1
The Connectedness of the Friends-and-Strangers Graph of a Lollipop and Others	1
Ambush Cops and Robbers	1
Hamilton Paths in Dominating Graphs of Trees and Cycles	1
On a List Variant of the Multiplicative 1-2-3 Conjecture	1
Maximum Rectilinear Crossing Number of Uniform Hypergraphs	1
Strong Edge Coloring of Cayley Graphs and Some Product Graphs	1
Projective dimension and regularity of 3-path ideals of unicyclic graphs	1
Thin Q-Polynomial Distance-Regular Graphs Have Bounded $$c_2$$	1
On Extremal Problems on Multigraphs	1
Upper Bounds on the Chromatic Polynomial of a Connected Graph with Fixed Clique Number	1
Admissible Property of Graphs in Terms of Radius	1
Edge-Disjoint Steiner Trees and Connectors in Graphs	1
Arc-Antipancyclic Hypertournament	1
On Flipping Edge Sets in Unique Sink Orientations	1
On 2-Factors Splitting an Embedded Graph into Two Plane Graphs	1
Fashion Game on Planar Graphs	1
Fusions of the generalized Hamming scheme on a strongly-regular graph	1
Four-vertex traces of finite sets	1
Generalized Power Domination in Claw-Free Regular Graphs	1
An Improved Upper Bound on the Independent Domination Number in Cubic Graphs of Girth at Least Six	1
Spanning Trees with Few Branch Vertices in a Chair-Free Graph	1
On the Complexity of Local-Equitable Coloring in Claw-Free Graphs with Small Degree	1
Generalized Turán Problems for Complete Bipartite Graphs	1
Cyclic arrangements with minimum modulo m winding numbers	1
When a Decomposable Tournament is $$\{-1,3\}$$-Reconstructible?	1
Optimal Chromatic Bound for ($$P_3\cup P_2$$, House)-Free Graphs	1
On the Unimodality of Domination Polynomials	1
Neighbor sum distinguishing index of $$K_4$$-minor free graphs	1
The Odd Chromatic Number of a Planar Graph is at Most 8	1
The Sharp Upper Bounds on the $$A_{\alpha }$$-Spectral Radius of $$C_4$$-Free Graphs and Halin Graphs	1
The Polychromatic Number of Small Subsets of the Integers Modulo n	1
Super Domination in Trees	1
The Number of Copies of $$K_{2,t+1}$$ in a Graph	1
Non-chromatic-Adherence of the DP Color Function via Generalized Theta Graphs	1
Homogeneous Coherent Configurations from Spherical Buildings and Other Edge-Coloured Graphs	1
Dichromatic number of chordal graphs	1
Frames and Doubly Resolvable Group Divisible Designs with Block Size Three and Index Two	1
Automorphism Groups of 2-Token Graph of Cartesian Product of Two Cycles	1
Contractible Edges in Spanning Trees of 3-Connected Graphs	1
Partition Lattice with Limited Block Sizes	1
A Deletion–Contraction Relation for the DP Color Function	1
Stability of Generalized Turán Number for Linear Forests	1
Three-Color Ramsey Number of an Odd Cycle Versus Bipartite Graphs with Small Bandwidth	1
Greedy Routing in Circulant Networks	1
The Maximum Sum of Sizes of Non-Empty Cross t-Intersecting Families	0
The Scattering Number of Strictly Chordal Graphs: Linear Time Determination	0
The Structure of Minimally 1-Tough Graphs with Small Independence Number	0
Maximizing the Number of H-Colorings of Graphs with a Fixed Minimum Degree	0
Contractible Edges and Longest Cycles in 3-Connected Graphs	0
On the Existence of Regular Sparse Anti-magic Squares of Odd Order	0
Bounds for DP Color Function and Canonical Labelings	0
Parameters of Quotient-Polynomial Graphs	0
Anti-van der Waerden Numbers on Graphs	0
On Dirac and Motzkin Problem in Discrete Geometry	0
Some Two-Weight Codes Over Chain Rings and their Strongly Regular Graphs	0
Gallai–Ramsey Numbers for Paths	0
The Zero Forcing Number of Graphs with the Matching Number and the Cyclomatic Number	0
Completely Independent Spanning Trees in Line Graphs	0
Non-perfect $$(P_5, C_5, K_5-e)$$-Free Graphs are 5-Colorable	0
The primality graph of critical 3-hypergraphs	0
The Existence of Planar 4-Connected Essentially 6-Edge-Connected Graphs with No Claw-Decompositions	0
Weak Dynamic Coloring of Planar Graphs	0
Proper Edge Colorings of Cartesian Products with Rainbow $$C_4$$-s	0
Local Degree Conditions for Hamiltonicity of Claw-Free Graphs	0
Partial Domination of Hypergraphs	0
2-Distance List $$(\varDelta +3)$$-Coloring of Sparse Graphs	0
Decomposing 2k-Regular Graphs into Paths of Length k	0
A Tight Linear Bound to the Chromatic Number of $$(P_5, K_1+(K_1\cup K_3))$$-Free Graphs	0
Isoperimetric Formulas for Hyperbolic Animals	0
Independence Number and Maximal Chromatic Polynomials of Connected Graphs	0
A Note on Asymmetric Hypergraphs	0
Closed-Form Solution of Conic in Point-Line Enumerative Problem of Conic	0
Fractional Cocoloring of Graphs	0
Ramsey and Gallai-Ramsey Number for Wheels	0
List Dynamic 4-Coloring of Planar Graphs	0
Extremal Graphs for Two Vertex-Disjoint Copies of a Clique	0
On 4-Sachs Optimal Graphs	0