Graphs and Combinatorics

Article	Citations
Isolation of Cycles	17
Affirmative Solutions on Local Antimagic Chromatic Number	13
On the Connectivity and Independence Number of Power Graphs of Groups	11
$$P_{3}$$-Factors in the Square of a Tree	10
Flag-Transitive Block Designs and Finite Simple Exceptional Groups of Lie Type	9
On Mixed Graphs Whose Hermitian Spectral Radii are at Most 2	8
On the Connectivity of Enhanced Power Graphs of Finite Groups	7
Strong Subgraph Connectivity of Digraphs	7
Burning the Plane	6
Double Roman Domination in Graphs with Minimum Degree at Least Two and No $$C_{5}$$-cycle	6
Strict Neighbor-Distinguishing Index of Subcubic Graphs	6
Admissible Property of Graphs in Terms of Radius	6
Strongly Spanning Trailable Graphs with Small Circumference and Hamilton-Connected Claw-Free Graphs	6
Repetition of Spectral Radiuses Among Connected Induced Subgraphs	5
Notes on the Leonard System Classification	5
Wiener Indices of Maximal k-Degenerate Graphs	5
Sharp Upper Bounds on the k-Independence Number in Graphs with Given Minimum and Maximum Degree	5
Acyclic Coloring of Graphs with Maximum Degree 7	5
On Tree-Connectivity and Path-Connectivity of Graphs	5
Extremal Graphs for Blow-Ups of Keyrings	5
The Generalized Turán Number of Spanning Linear Forests	5
The Crossing Numbers of Join of Special Disconnected Graph on Five Vertices with Discrete Graphs	5
On Well-Dominated Graphs	4
Uniform Length Dominating Sequence Graphs	4
Extremal Graphs for Odd-Ballooning of Paths and Cycles	4

On Specific Factors in Graphs	4
Shifted-Antimagic Labelings for Graphs	4
Discrete Geometry on Colored Point Sets in the Plane—A Survey	4
Some Constructions of Quasi-strongly Regular Digraphs	4
Star-Critical Ramsey Numbers of Cycles Versus Wheels	4
Anti-Ramsey Problems in Complete Bipartite Graphs for t Edge-Disjoint Rainbow Spanning Trees	4
On the Unimodality of Domination Polynomials	4
Admissible Pinnacle Orderings	4
Extremal Graphs for Two Vertex-Disjoint Copies of a Clique	4
Ramsey and Gallai-Ramsey Number for Wheels	4
Some Results on Multithreshold Graphs	4
Injective Edge Coloring for Graphs with Small Edge Weight	4
The Edge-Connectivity of Token Graphs	4
The Odd Chromatic Number of a Planar Graph is at Most 8	4
Generalized Turán Number of Even Linear Forests	4
Super Graphs on Groups, I	4
Group Divisible Designs with Block Size Four and Type $$g^u b^1 (gu/2)^1$$	3
Triangle-Free Subgraphs of Hypergraphs	3
Degree Sequence Conditions for Maximally Edge-Connected and Super Edge-Connected Hypergraphs	3
Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups	3
Hamiltonian Cycle Properties in k-Extendable Non-bipartite Graphs with High Connectivity	3
Modular Terwilliger Algebras of Association Schemes	3
The Ramsey Number for a Forest Versus Disjoint Union of Complete Graphs	3
On Generalized Turán Number of Two Disjoint Cliques	3
The Hitting Times of Random Walks on Bicyclic Graphs	3
The Sharp Upper Bounds on the $$A_{\alpha }$$-Spectral Radius of $$C_4$$-Free Graphs and Halin Graphs	3
Three-Weight Codes over Rings and Strongly Walk Regular Graphs	3
Star-Critical Ramsey Numbers Involving Large Generalized Fans	3
A Tight Linear Bound to the Chromatic Number of $$(P_5, K_1+(K_1\cup K_3))$$-Free Graphs	3
Gallai–Ramsey Numbers for Rainbow Paths	3
A Deletion–Contraction Relation for the DP Color Function	3
A Note on Spectral Radius and Maximum Degree of Irregular Graphs	3
A Size Condition for Diameter Two Orientable Graphs	3
Neighbor Sum Distinguishing Total Choosability of Cubic Graphs	3
Fractional Matchings, Component-Factors and Edge-Chromatic Critical Graphs	3
A Generalization of Some Results on List Coloring and DP-Coloring	3
On Strong Edge-Coloring of Claw-Free Subcubic Graphs	3
On $$\ell $$-Distance-Balanced Product Graphs	3
Ramsey and Gallai-Ramsey Numbers for Two Classes of Unicyclic Graphs	3
Peg Solitaire on Cartesian Products of Graphs	3
Partitioning a Graph into Complementary Subgraphs	3
Improved Bounds for Burning Fence Graphs	3
Lagrangian densities of short 3-uniform linear paths and Turán numbers of their extensions	3
On Grundy and b-Chromatic Number of Some Families of Graphs: A Comparative Study	3
Number of Dominating Sets in Cylindric Square Grid Graphs	3
Reconfiguring 10-Colourings of Planar Graphs	3
Star-Critical Ramsey Numbers of Generalized Fans	3
Gallai–Ramsey Numbers for a Class of Graphs with Five Vertices	3
On Supereulerian 2-Edge-Coloured Graphs	3
Quadratic Embedding Constants of Graph Joins	2

Anti-Ramsey Number of Triangles in Complete Multipartite Graphs	2
Upper Bounds on the k-Tuple (Roman) Domination Number of a Graph	2
Optimal Domination Polynomials	2
Rainbow Antistrong Connection in Tournaments	2
Improved Bounds on the k-tuple (Roman) Domination Number of a Graph	2
Conflict-Free Connection Number and Size of Graphs	2
A Characterization for Graphs Having Strong Parity Factors	2
A New Result on Spectral Radius and Maximum Degree of Irregular Graphs	2
Decomposing Degenerate Graphs into Locally Irregular Subgraphs	2
Maximum Modulus of Independence Roots of Graphs and Trees	2
Laplacian Controllability for Graphs Obtained by Some Standard Products	2
Recent Progress on Graphs with Fixed Smallest Adjacency Eigenvalue: A Survey	2
Generalized Power Sum and Newton-Girard Identities	2
Minimum Size Highly Redundantly Rigid Graphs in the Plane	2
Designs in Finite Metric Spaces: A Probabilistic Approach	2
Irreducible Representations of the Terwilliger Algebra of a Tree	2
The Antistrong Property for Special Digraph Families	2
Thick Weakly Distance-Regular Digraphs	2
Exponential Lower Bound for Berge-Ramsey Problems	2
A Note on k-Wise Oddtown Problems	2
Bipartite Ramsey Numbers of Cycles for Random Graphs	2
Weakly Protected Points in Ordered Trees	2
A Note on Stability for Maximal F-Free Graphs	2
Extremal Edge-Girth-Regular Graphs	2
Acyclic Edge Coloring of Chordal Graphs with Bounded Degree	2
On Reconfiguration Graphs of Independent Sets Under Token Sliding	2
The Dichromatic Polynomial of a Digraph	2
Zero-Sum Copies of Spanning Forests in Zero-Sum Complete Graphs	2
Optimal Pebbling Number of the Square Grid	2
Conformal Decomposition of Integral Flows on Signed Graphs with Outer-Edges	2
Paired Domination in Trees	2
A Cheeger Cut for Uniform Hypergraphs	2
Rainbow Monochromatic k-Edge-Connection Colorings of Graphs	2
Extremal Digraphs Avoiding an Orientation of the Diamond	2
Domination for Latin Square Graphs	2
Coloring of Some Crown-Free Graphs	2
An Injective Version of the 1-2-3 Conjecture	2
Unified Spectral Hamiltonian Results of Balanced Bipartite Graphs and Complementary Graphs	2
An Improved Upper Bound on the Independent Domination Number in Cubic Graphs of Girth at Least Six	2
Distance Matching Extension in Cubic Bipartite Graphs	2
Fractional Cross Intersecting Families	2
Strong Edge Coloring of Cayley Graphs and Some Product Graphs	2
The Family of Bicircular Matroids Closed Under Duality	2
2-Distance List $$(\varDelta +3)$$-Coloring of Sparse Graphs	2
Packing and Covering Directed Triangles	2
Super Domination in Trees	2
Egalitarian Edge Orderings of Complete Graphs	2
Non-chromatic-Adherence of the DP Color Function via Generalized Theta Graphs	2
The Maximal 1-Planarity and Crossing Numbers of Graphs	2
Block-Transitive 3-Designs with Block Size At Most 6	2
Measuring Similarity Between Connected Graphs: The Role of Induced Subgraphs and Complementarity Eigenvalues	2
Star-Critical Gallai–Ramsey Numbers of Graphs	2
The Eulerian Distribution on the Involutions of the Hyperoctahedral Group is Indeed $$\gamma$$-Positive	2
Supereulerian Graphs with Constraints on the Matching Number and Minimum Degree	2
Partial Skew Dyck Paths: A Kernel Method Approach	1
On a List Variant of the Multiplicative 1-2-3 Conjecture	1
Loose Edge-Connection of Graphs	1
Graphs with Diameter 2 and Large Total Domination Number	1
From Colourful to Rainbow Paths in Graphs: Colouring the Vertices	1
Equivariant Euler Characteristics of Symplectic Buildings	1
Packing Tree Degree Sequences	1
Local Balance in Graph Decompositions	1
Proportional 2-Choosability with a Bounded Palette	1
On $$K_{2,t}$$-Bootstrap Percolation	1
Planar Graphs Without Cycles of Length from 4 to 7 and Intersecting Triangles are DP-3-Colorable	1
Free Subarrangements of Shi Arrangements	1
Sharp Bounds on the Permanental Sum of a Graph	1
Induced Nets and Hamiltonicity of Claw-Free Graphs	1
Summations on the Diagonals of a Riordan Array and Some Applications	1
3-Free Strong Digraphs with the Maximum Size	1
Correction to: Gallai–Ramsey Numbers for a Class of Graphs with Five Vertices	1
Gallai–Ramsey Numbers Involving a Rainbow 4-Path	1
Sequential Partitions of Nonpure Simplicial Complexes	1
Complex and Homomorphic Chromatic Number of Signed Planar Simple Graphs	1
A Relation Between Schröder Paths and Motzkin Paths	1
Two-Coloring Triples such that in Each Color Class Every Element is Missed at Least Once	1
Shortest Directed Networks in the Plane	1
An Exponential Bound for Simultaneous Embeddings of Planar Graphs	1
Degree Conditions for Completely Independent Spanning Trees of Bipartite Graphs	1
The Weisfeiler–Leman Dimension of Chordal Bipartite Graphs Without Bipartite Claw	1

Signed Graphs with All But Two Eigenvalues Equal to $$\pm 1$$	1
Meyniel Extremal Families of Abelian Cayley Graphs	1
Tighter Bounds on Directed Ramsey Number R(7)	1
Spiders and their Kin: An Investigation of Stanley’s Chromatic Symmetric Function for Spiders and Related Graphs	1
H-Cycles in H-Colored Multigraphs	1
Avoiding and Extending Partial Edge Colorings of Hypercubes	1
A Note on Coloring $$(4K_1, C_4, C_6)$$-Free Graphs with a $$C_7$$	1
Generalized Delannoy Matrices and Their Combinatorial Properties	1
Extending Muirhead’s Inequality	1
Factorisation of Greedoid Polynomials of Rooted Digraphs	1
Maxima of the Q-Spectral Radius of $$C_3$$ ($$C_4$$)-Free Graphs with Given Size and Minimum Degree $$\delta \ge 2$$	1
On the Eigenvalues of Grassmann Graphs, Bilinear Forms Graphs and Hermitian Forms Graphs	1
Block Elimination Distance	1
Regular and Vertex-Transitive Kähler Graphs Having Commutative Principal and Auxiliary Adjacency Operators	1
Consecutive Detecting Arrays for Interaction Faults	1
Properties of a q-Analogue of Zero Forcing	1
Topological Inductive Constructions for Tight Surface Graphs	1
A proof of a conjecture on the paired-domination subdivision number	1
Reducing Vizing’s 2-Factor Conjecture to Meredith Extension of Critical Graphs	1
The Crossing Number of Twisted Graphs	1
Homogeneous Coherent Configurations from Spherical Buildings and Other Edge-Coloured Graphs	1
Strong Cliques in Claw-Free Graphs	1
Triangles and (Total) Domination in Subcubic Graphs	1
Classification of Efficient Dominating Sets of Circulant Graphs of Degree 5	1
Multicolor Ramsey Numbers of Bipartite Graphs and Large Books	1
Hamiltonicity of a Coprime Graph	1
Edge-Colored Complete Graphs Containing No Properly Colored Odd Cycles	1
Commuting Involution Graphs for Certain Exceptional Groups of Lie Type	1
2-Edge-Colored Chromatic Number of Grids is at Most 9	1
Polar Coordinates View on KM-Arcs	1
On a Paley-Type Graph on $${\mathbb {Z}}_n$$	1
New Constructions of Divisible Design Cayley Graphs	1
Maximum Cuts in $$\mathscr {H}$$-Free Graphs	1
The Ramsey Numbers of Trees Versus Generalized 6-Wheels or Generalized 7-Wheels	1
On a Conjecture About the Local Metric Dimension of Graphs	1
On Bipartite Graphs Having Minimum Fourth Adjacency Coefficient	1
A Proof of a Dodecahedron Conjecture for Distance Sets	1
Prime 3-Uniform Hypergraphs	1
Sufficient Spectral Radius Conditions for Hamilton-Connectivity of k-Connected Graphs	1
On existence of Two Classes of Generalized Howell Designs with Block Size Three and Index Two	1
Minimally k-Factor-Critical Graphs for Some Large k	1
Antipodal Sets and Designs on Unitary Groups	1
The Ihara-Zeta Function and the Spectrum of the Join of Two Semi-Regular Bipartite Graphs	1
On 3-Bisections in Cubic and Subcubic Graphs	1
Unit Ball Graphs on Geodesic Spaces	1
Contractible Edges and Contractible Triangles in a 3-Connected Graph	1
Partitioning Planar Graphs without 4-Cycles and 6-Cycles into a Linear Forest and a Forest	1
The Distribution of Roots of Ehrhart Polynomials for the Dual of Root Polytopes of Type C	1
Some Results on Berge’s Conjecture and Begin–End Conjecture	1
Shadow Ratio of Hypergraphs with Bounded Degree	1
On the Existence of Regular Sparse Anti-magic Squares of Odd Order	1
On Explicit Random-Like Tournaments	1
A New Proof of the Erdős–Simonovits Conjecture on Walks	1
Rectilinear Crossings in Complete Balanced d-Partite d-Uniform Hypergraphs	1
Hamilton Paths in Dominating Graphs of Trees and Cycles	1
Counterexamples to Thomassen’s Conjecture on Decomposition of Cubic Graphs	1
On ($$1,C_4$$) One-Factorization and Two Orthogonal ($$2,C_4$$) One-Factorizations of Complete Graphs	1
On the Maximum Number of Non-attacking Rooks on a High-Dimensional Simplicial Chessboard	1
Resonance Graphs on Perfect Matchings of Graphs on Surfaces	1
The Tight Bound for the Strong Chromatic Indices of Claw-Free Subcubic Graphs	1
Disjoint Cycles of Different Lengths in 3-Regular Digraphs	1
Paths are Turán-good	1
On Euclidean Distances and Sphere Representations	1
Maximality of Seidel matrices and switching roots of graphs	1
Graphs of Order n with Determining Number $$n{-}3$$	1
Supersaturation for Subgraph Counts	1
Domino Tilings of Aztec Octagons	1
On the Number of Linear Multipartite Hypergraphs with Given Size	1
Ramsey Numbers Involving an Odd Cycle and Large Complete Graphs in Three Colors	1
Injective Edge-Coloring of Graphs with Small Weight	1
Independent Domination Subdivision in Graphs	1
On Degree Sum Conditions and Vertex-Disjoint Chorded Cycles	1
Greedy Routing in Circulant Networks	1
Rainbow Triangles in Arc-Colored Tournaments	1
Affine Planes and Transversals in 3-Uniform Linear Hypergraphs	1
Rainbow and Properly Colored Spanning Trees in Edge-Colored Bipartite Graphs	1
A Note on the Crossing Number of the Cone of a Graph	1
Matching Numbers and Dimension of Edge Ideals	1
On Polyhedral Realization with Isosceles Triangles	1
Beck’s Coloring of Finite Product of Commutative Ring with Unity	1
Sum Index, Difference Index and Exclusive Sum Number of Graphs	1
The Rigidity of Infinite Graphs II	1
Stability Theorems for Graph Vulnerability Parameters	1
On Graphs of Order n with Metric Dimension $$n-4$$	1
Predominating a Vertex in the Connected Domination Game	1
An Upper Bound for the 3-Tone Chromatic Number of Graphs with Maximum Degree 3	1
Domination and Outer Connected Domination in Maximal Outerplanar Graphs	1
Size Ramsey Results for the Path of Order Three	1
On Networks with Order Close to the Moore Bound	1
Some Statistics on Generalized Motzkin Paths with Vertical Steps	1
Coincident Rigidity of 2-Dimensional Frameworks	1
The Connectedness of the Friends-and-Strangers Graph of a Lollipop and Others	1
The Existence of Planar 4-Connected Essentially 6-Edge-Connected Graphs with No Claw-Decompositions	1
On the Number of Forests and Connected Spanning Subgraphs	1
The Action of the Weyl Group on the $$E_8$$ Root System	1