For an integer
Keywords
- line graph
- claw-free graph
- -hamiltonian-connected
- collapsible graphs
- reductions
MSC 2010
- 05C75
- 05C45
Chorded k -Pancyclic and Weaklyk -Pancyclic GraphsOn s -Hamiltonian-Connected Line GraphsOn M f -Edge Colorings of GraphsBeta Invariant and Chromatic Uniqueness of Wheels Cubic Graphs Having Only k -Cycles in Each 2-FactorDistance-Local Rainbow Connection Number On a Graph Labelling Conjecture Involving Coloured Labels Graph Grabbing Game on Graphs with Forbidden Subgraphs On the Broadcast Independence Number of Locally Uniform 2-Lobsters Cycles of Many Lengths in Balanced Bipartite Digraphs on Dominating and Dominated Degree Conditions The Turán Number for 4 · Sℓ 1Panchromatic Patterns By Paths Singular Turán Numbers and Worm-Colorings The Linear Arboricity of Graphs with Low Treewidth Decomposing 10-Regular Graphs into Paths of Length 5 The Decycling Number of a Planar Graph Covered By K 4-SubgraphsDegree Sum Condition for Vertex-Disjoint 5-Cycles Finding Dominating Induced Matchings in P 9-Free Graphs in Polynomial TimeL (2, 1)-Labeling of the Iterated Mycielski Graphs of Graphs and Some Problems Related to Matching Problems( C 3,C 4,C 5,C 7)-Free Almost Well-Dominated GraphsOn the Equality of Domination Number and 2-Domination Number Bounds on the Double Italian Domination Number of a Graph The Achromatic Number of the Cartesian Product of K 6 andKq More on the Rainbow Disconnection in Graphs Linear Arboricity of 1-Planar Graphs Edge Degree Conditions for Dominating and Spanning Closed Trails Extremal Graphs for Even Linear Forests in Bipartite Graphs ℓ -Coveringk -Hypergraphs are Quasi-EulerianZero and Total Forcing Dense Graphs The Walks and CDC of Graphs with the Same Main Eigenspace Burnside Chromatic Polynomials of Group-Invariant Graphs Total and Paired Domination Stability in Prisms Generalized Turán Problems for Small Graphs The Achromatic Number of K 6 □Kq Equals 2q + 3 Ifq ≥ 41 is OddTotal 2-Domination Number in Digraphs and Its Dual Parameter Metric Dimension and Diameter in Bipartite Graphs A Decomposition for Digraphs with Minimum Outdegree 3 Having No Vertex Disjoint Cycles of Different Lengths On Semi-Transitive Orientability of Triangle-Free Graphs Countable Graphs Are Majority 3-Choosable Identifying Codes in the Direct Product of a Path and a Complete Graph Determining Number and Cost of Generalized Mycielskian Graphs A Note on Packing of Uniform Hypergraphs Set-Sequential Labelings of Odd Trees Lower Boundary Independent Broadcasts in Trees Minimal Graphs with Disjoint Dominating and Total Dominating Sets On Singular Signed Graphs with Nullspace Spanned by a Full Vector: Signed Nut Graphs Edge Intersection Hypergraphs On Distance Magic Labelings of Hamming Graphs and Folded Hypercubes An Upper Bound on the Chromatic Number of 2-Planar Graphs On Subgraphs with Prescribed Eccentricities Double Roman and Double Italian Domination An Improved Bound on the Chromatic Number of the Pancake Graphs Covering the Edges of a Random Hypergraph by Cliques Choosability with Separation of Cycles and Outerplanar Graphs More on Signed Graphs with at Most Three Eigenvalues The Neighbor-Locating-Chromatic Number of Trees and Unicyclic Graphs Edge-Maximal Graphs with Cutwidth at Most Three The Petersen and Heawood Graphs Make Up Graphical Twins Via Induced Matchings A Note About Monochromatic Components in Graphs of Large Minimum Degree New Results on Type 2 Snarks1 Relationship among B1-EPG, VPT and EPT Graphs Classes Relaxed DP-Coloring and another Generalization of DP-Coloring on Planar Graphs without 4-Cycles and 7-Cycles A Characterization of Internally 4-Connected {P10 − {V1, V2}}-Minor-Free Graphs Enumerating the Digitally Convex Sets of Powers of Cycles and Cartesian Products of Paths and Complete Graphs New Bounds on Domination and Independence in Graphs1 Two Sufficient Conditions for Component Factors in Graphs The Turán Number of Spanning Star Forests Well-Covered Token Graphs On the Metric Dimensions for Sets of Vertices Hop Domination in Chordal Bipartite Graphs Minimizing the Number of Complete Bipartite Graphs in a Ks -Saturated GraphSome Results on Path-Factor Critical Avoidable Graphs Double Total Dominator Chromatic Number of Graphs Forbidden Subgraphs for Existences of (Connected) 2-Factors of a Graph The Hilton-Spencer Cycle Theorems Via Katona’s Shadow Intersection Theorem Extending Potočnik and Šajna’s Conditions on the Existence of Vertex-Transitive Self-Complementary k -HypergraphsOn the Sizes of ( k, l )-Edge-Maximalr -Uniform HypergraphsA Note on the Upper Bounds on the Size of Bipartite and Tripartite 1-Embeddable Graphs on Surfaces Spanning Trees with a Bounded Number of Branch Vertices in a K 1,4-Free GraphCoalition Graphs of Paths, Cycles, and Trees A Characterization of Uniquely Representable Graphs On P 5-Free Locally Split GraphsBounds on the Total Double Roman Domination Number of Graphs On the ρ -Subdivision Number of GraphsScaffold for the Polyhedral Embedding of Cubic Graphs Vertex-Edge Domination in Interval and Bipartite Permutation Graphs Domination Game: Effect of Edge Contraction and Edge Subdivision On Q -Connected Chordal Graphs with Minimum Number of Spanning TreesStrong and Weak Perfect Digraph Theorems for Perfect, α-Perfect and Strictly Perfect Digraphs About an Extremal Problem of Bigraphic Pairs with a Realization Containing K s ,t 1 Optimal Error-Detecting Open-Locating-Dominating Set on the Infinite Triangular Grid The Graph Grabbing Game on Blow-ups of Trees and Cycles Flippable Edges in Triangulations on Surfaces A Note on Forcing 3-Repetitions in Degree Sequences Vertex Partitioning of Graphs Into Odd Induced Subgraphs On the Ramsey Numbers of Non-Star Trees Versus Connected Graphs of Order Six Daisy Hamming Graphs Strengthening Some Complexity Results on Toughness of Graphs Unique Minimum Semipaired Dominating Sets in Trees Nested Locally Hamiltonian Graphs and the Oberly-Sumner Conjecture On Conditional Connectivity of the Cartesian Product of Cycles On Small Balanceable, Strongly-Balanceable and Omnitonal Graphs Representing Split Graphs by Words More Aspects of Arbitrarily Partitionable Graphs Antimagic Labeling of Some Biregular Bipartite Graphs Improved Bounds for Some Facially Constrained Colorings Equimatchable Bipartite Graphs The Threshold Dimension and Irreducible Graphs More Tales of Hoffman: Bounds for the Vector Chromatic Number of a Graph The Existence of Path-Factor Covered Graphs Domination Parameters of the Unitary Cayley Graph of / n Efficient ( j ,k )-Dominating FunctionsElimination Properties for Minimal Dominating Sets of Graphs Cyclic Permutations in Determining Crossing Numbers