On the vertex-arboricity of planar graphs
From MaRDI portal
Publication:2427551
DOI10.1016/j.ejc.2007.11.022zbMath1144.05024OpenAlexW2023875606MaRDI QIDQ2427551
Publication date: 13 May 2008
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejc.2007.11.022
Related Items (43)
Decreasing the maximum average degree by deleting an independent set or a \(d\)-degenerate subgraph ⋮ Two sufficient conditions for a planar graph to be list vertex-2-arborable ⋮ LIST POINT ARBORICITY OF GRAPHS ⋮ List vertex-arboricity of toroidal graphs without 4-cycles adjacent to 3-cycles ⋮ A Catlin-type theorem for graph partitioning avoiding prescribed subgraphs ⋮ A sufficient condition for a planar graph to be \((\mathcal{F},\mathcal{F}_2)\)-partitionable ⋮ A flow theory for the dichromatic number ⋮ List vertex arboricity of planar graphs without 5-cycles intersecting with 6-cycles ⋮ Circular coloring of planar digraphs ⋮ Vertex arboricity of toroidal graphs with a forbidden cycle ⋮ An (F1,F4)‐partition of graphs with low genus and girth at least 6 ⋮ 3‐Degenerate induced subgraph of a planar graph ⋮ A generalization of some results on list coloring and DP-coloring ⋮ Vertex 2-arboricity of planar graphs without 4-cycles adjacent to 6-cycles ⋮ A note of vertex arboricity of planar graphs without 4-cycles intersecting with 6-cycles ⋮ Vertex-arboricity of planar graphs without intersecting triangles ⋮ Variable degeneracy on toroidal graphs ⋮ On inducing degenerate sums through 2-labellings ⋮ Large induced acyclic and outerplanar subgraphs of 2-outerplanar graph ⋮ Drawing Graphs on Few Lines and Few Planes ⋮ Partitioning kite‐free planar graphs into two forests ⋮ Vertex arboricity of planar graphs without intersecting 5-cycles ⋮ On the vertex-arboricity of \(K_5\)-minor-free graphs of diameter 2 ⋮ On the vertex-arboricity of planar graphs without 7-cycles ⋮ Partitioning a triangle-free planar graph into a forest and a forest of bounded degree ⋮ Dominating sets of maximal outerplanar graphs ⋮ List strong linear 2-arboricity of sparse graphs ⋮ A weaker version of a conjecture on list vertex arboricity of graphs ⋮ List vertex-arboricity of planar graphs without intersecting 5-cycles ⋮ The extremal function for Petersen minors ⋮ A structural property of trees with an application to vertex-arboricity ⋮ List total arboricity of 2-degenerate graphs ⋮ Circular vertex arboricity ⋮ A note on the list vertex arboricity of toroidal graphs ⋮ On the vertex partition of planar graphs into forests with bounded degree ⋮ Coloring Graphs Using Two Colors While Avoiding Monochromatic Cycles ⋮ An analogue of DP-coloring for variable degeneracy and its applications ⋮ Treewidth of display graphs: bounds, brambles and applications ⋮ Vertex-arboricity of toroidal graphs without \(K_5^-\) and \(6\)-cycles ⋮ Cover and variable degeneracy ⋮ Vertex arboricity of graphs embedded in a surface of non-negative Euler characteristic ⋮ An \((F_3,F_5)\)-partition of planar graphs with girth at least 5 ⋮ Vertex arboricity of planar graphs without chordal 6-cycles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Planar graphs without cycles of specific lengths
- Erratum to: The smallest non-Hamiltonian 3-connected cubic planar graphs have 38 vertices
- On point-linear arboricity of planar graphs
- Some 4-valent, 3-connected, planar, almost pancyclic graphs
- Choosability and edge choosability of planar graphs without five cycles
- Vertex and tree arboricities of graphs
- Vertex arboricity and maximum degree
- Decomposing a planar graph into degenerate graphs
- Parallel complexity of partitioning a planar graph into vertex-induced forests
- The point-arboricity of a graph
- B-sets and planar maps
- On the critical point-arboricity graphs
- On the linear vertex-arboricity of a planar graph
- An inequality involving the vertex arboricity and edge arboricity of a graph
- Critical Point-Arboritic Graphs
- Every planar map is four colorable
- A Note on the Vertex Arboricity of a Graph
- Point-Arboricity and Girth
- Nonhamiltonian 3-Connected Cubic Planar Graphs
- The Point-Arboricity of Planar Graphs
- An Analogue to the Heawood Map-Colouring Problem
This page was built for publication: On the vertex-arboricity of planar graphs