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The point-arboricity of a graph

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01895727openalex-snapshot
On the maximal number of independent circuits in a graph
inferredcites →https://doi.org/10.1007/bf01901931openalex-snapshot
On the maximal number of independent circuits in a graph
inferredcites →https://doi.org/10.1112/jlms/s1-36.1.445openalex-snapshot
Edge-Disjoint Spanning Trees of Finite Graphs
inferredcites →https://doi.org/10.1112/jlms/s1-39.1.12openalex-snapshot
Decomposition of Finite Graphs Into Forests

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/9781118032497.ch2openalex-snapshot
Planar Graphs
inferred← citeshttps://doi.org/10.1002/jgt.10010openalex-snapshot
On the critical point‐arboricity graphs
inferred← citeshttps://doi.org/10.1002/jgt.22032openalex-snapshot
Planar Digraphs of Digirth Five Are 2‐Colorable
inferred← citeshttps://doi.org/10.1002/jgt.23062openalex-snapshot
Partitioning kite‐free planar graphs into two forests
inferred← citeshttps://doi.org/10.1002/jgt.3190070302openalex-snapshot
Maximum versus minimum invariants for graphs
inferred← citeshttps://doi.org/10.1002/jgt.3190140108openalex-snapshot
On the linear vertex‐arboricity of a planar graph
inferred← citeshttps://doi.org/10.1002/jgt.3190140113openalex-snapshot
Bounds for the vertex linear arboricity
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A compilation of relations between graph invariants
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Surfaces, Tree-Width, Clique-Minors, and Partitions
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Planar Graph Coloring with Forbidden Subgraphs: Why Trees and Paths Are Dangerous
inferred← citeshttps://doi.org/10.1007/3-540-60618-1_82openalex-snapshot
NC algorithms for partitioning planar graphs into induced forests and approximating NP-hard problems
inferred← citeshttps://doi.org/10.1007/978-3-030-89543-3_45openalex-snapshot
Single-Pass Streaming Algorithms to Partition Graphs into Few Forests
inferred← citeshttps://doi.org/10.1007/978-3-031-92935-9_20openalex-snapshot
Supereulerian Testing on Semi-Eulerian Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-70666-3_26openalex-snapshot
Fractional Vertex Arboricity of Graphs
inferred← citeshttps://doi.org/10.1007/bf02764716openalex-snapshot
Acyclic colorings of planar graphs
inferred← citeshttps://doi.org/10.1007/bf02771516openalex-snapshot
Uniquelyk-arborable graphs
inferred← citeshttps://doi.org/10.1007/bfb0015449openalex-snapshot
NC algorithms for partitioning sparse graphs into induced forests with an application
inferred← citeshttps://doi.org/10.1007/bfb0059436openalex-snapshot
A class of point partition numbers
inferred← citeshttps://doi.org/10.1007/s00010-023-01000-wopenalex-snapshot
Achromatic arboricity on complete graphs
inferred← citeshttps://doi.org/10.1007/s00373-014-1466-5openalex-snapshot
A Weaker Version of a Conjecture on List Vertex Arboricity of Graphs
inferred← citeshttps://doi.org/10.1007/s00373-020-02177-6openalex-snapshot
A Generalization of Some Results on List Coloring and DP-Coloring
inferred← citeshttps://doi.org/10.1007/s00373-024-02758-9openalex-snapshot
On Inducing Degenerate Sums Through 2-Labellings
inferred← citeshttps://doi.org/10.1007/s00373-024-02817-1openalex-snapshot
The Robust Chromatic Number of Graphs
inferred← citeshttps://doi.org/10.1007/s00373-024-02820-6openalex-snapshot
The Vertex Arboricity of 1-Planar Graphs
inferred← citeshttps://doi.org/10.1007/s00453-005-1176-8openalex-snapshot
Planar Graph Coloring Avoiding Monochromatic Subgraphs: Trees and Paths Make It Difficult
inferred← citeshttps://doi.org/10.1007/s10013-020-00462-8openalex-snapshot
Acyclic Sum-List-Colouring of Cylinders
inferred← citeshttps://doi.org/10.1007/s10255-020-0936-1openalex-snapshot
List Vertex-arboricity of Planar Graphs without Intersecting 5-cycles
inferred← citeshttps://doi.org/10.1007/s10878-017-0168-3openalex-snapshot
Vertex arboricity of planar graphs without intersecting 5-cycles
inferred← citeshttps://doi.org/10.1016/0012-365x(84)90115-8openalex-snapshot
Induced forests in cubic graphs
inferred← citeshttps://doi.org/10.1016/0012-365x(89)90196-9openalex-snapshot
The subchromatic number of a graph
inferred← citeshttps://doi.org/10.1016/0012-365x(89)90211-2openalex-snapshot
Chromatic partitions of a graph
inferred← citeshttps://doi.org/10.1016/0012-365x(93)90493-dopenalex-snapshot
Generalizations of independence and chromatic numbers of a graph
inferred← citeshttps://doi.org/10.1016/0012-365x(93)e0205-iopenalex-snapshot
Vertex arboricity and maximum degree
inferred← citeshttps://doi.org/10.1016/0024-3795(93)00173-wopenalex-snapshot
On the minors of an incidence matrix and its Smith normal form
inferred← citeshttps://doi.org/10.1016/0024-3795(94)00139-5openalex-snapshot
Conditional chromatic numbers with forbidden cycles
inferred← citeshttps://doi.org/10.1016/0166-218x(93)90234-fopenalex-snapshot
On generalized perfect graphs: bounded degree and bounded edge perfection
inferred← citeshttps://doi.org/10.1016/0166-218x(96)00089-3openalex-snapshot
Parallel complexity of partitioning a planar graph into vertex-induced forests
inferred← citeshttps://doi.org/10.1016/j.akcej.2019.03.005openalex-snapshot
A short proof of Brooks’ Theorem for vertex arboricity
inferred← citeshttps://doi.org/10.1016/j.aml.2006.01.017openalex-snapshot
Tree coloring of distance graphs with a real interval set
inferred← citeshttps://doi.org/10.1016/j.aml.2012.04.011openalex-snapshot
List total arboricity of 2-degenerate graphs
inferred← citeshttps://doi.org/10.1016/j.dam.2011.04.009openalex-snapshot
Circular vertex arboricity
inferred← citeshttps://doi.org/10.1016/j.dam.2014.06.024openalex-snapshot
Randić index and coloring number of a graph
inferred← citeshttps://doi.org/10.1016/j.dam.2021.12.020openalex-snapshot
Vertex-arboricity of toroidal graphs without K 5 − and 6-cycles
inferred← citeshttps://doi.org/10.1016/j.dam.2023.11.001openalex-snapshot
Partitioning of a graph into induced subgraphs not containing prescribed cliques
inferred← citeshttps://doi.org/10.1016/j.dam.2025.08.024openalex-snapshot
Commutative rings with unit graphs of small vertex-arboricity
inferred← citeshttps://doi.org/10.1016/j.disc.2005.09.016openalex-snapshot
Partition the vertices of a graph into one independent set and one acyclic set
inferred← citeshttps://doi.org/10.1016/j.disc.2006.10.017openalex-snapshot
On the vertex arboricity of planar graphs of diameter two
inferred← citeshttps://doi.org/10.1016/j.disc.2012.03.035openalex-snapshot
On the vertex-arboricity of planar graphs without 7-cycles
inferred← citeshttps://doi.org/10.1016/j.disc.2013.12.017openalex-snapshot
On the vertex-arboricity of K 5 -minor-free graphs of diameter 2
inferred← citeshttps://doi.org/10.1016/j.disc.2014.06.011openalex-snapshot
Vertex arboricity of toroidal graphs with a forbidden cycle
inferred← citeshttps://doi.org/10.1016/j.disc.2016.04.010openalex-snapshot
List vertex-arboricity of toroidal graphs without 4 -cycles adjacent to 3 -cycles
inferred← citeshttps://doi.org/10.1016/j.disc.2018.08.021openalex-snapshot
A note on the list vertex arboricity of toroidal graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2021.112765openalex-snapshot
Cover and variable degeneracy
inferred← citeshttps://doi.org/10.1016/j.disc.2022.112865openalex-snapshot
Two sufficient conditions for a planar graph to be list vertex-2-arborable
inferred← citeshttps://doi.org/10.1016/j.disc.2022.112911openalex-snapshot
A Catlin-type theorem for graph partitioning avoiding prescribed subgraphs
inferred← citeshttps://doi.org/10.1016/j.disc.2024.113998openalex-snapshot
A note on the list vertex-arboricity of IC-planar graphs
inferred← citeshttps://doi.org/10.1016/j.ejc.2007.11.022openalex-snapshot
On the vertex-arboricity of planar graphs
inferred← citeshttps://doi.org/10.1016/j.ejc.2011.09.017openalex-snapshot
Vertex-arboricity of planar graphs without intersecting triangles
inferred← citeshttps://doi.org/10.1016/j.ejc.2017.05.010openalex-snapshot
The k -strong induced arboricity of a graph
inferred← citeshttps://doi.org/10.1016/j.tcs.2006.10.020openalex-snapshot
Induced-path partition on graphs with special blocks
inferred← citeshttps://doi.org/10.1016/j.tcs.2020.06.009openalex-snapshot
A note of vertex arboricity of planar graphs without 4-cycles intersecting with 6-cycles
inferred← citeshttps://doi.org/10.1016/j.tcs.2022.11.007openalex-snapshot
Vertex 2-arboricity of planar graphs without 4-cycles adjacent to 6-cycles
inferred← citeshttps://doi.org/10.1016/s0012-365x(97)84217-3openalex-snapshot
The complexity of G-free colourability
inferred← citeshttps://doi.org/10.1016/s0012-365x(98)00340-9openalex-snapshot
A sequential coloring algorithm for finite sets
inferred← citeshttps://doi.org/10.1016/s0024-3795(02)00386-5openalex-snapshot
Computers and discovery in algebraic graph theory
inferred← citeshttps://doi.org/10.1016/s0167-5060(08)70296-6openalex-snapshot
The Subchromatic Number of a Graph
inferred← citeshttps://doi.org/10.1016/s0167-5060(08)70311-xopenalex-snapshot
Chromatic Partitions of a Graph
inferred← citeshttps://doi.org/10.1016/s0304-0208(01)80009-8openalex-snapshot
Map-Coloring Problems
inferred← citeshttps://doi.org/10.1016/s0304-0208(01)80021-9openalex-snapshot
References
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References
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Efficient algorithms for acyclic colorings of graphs
inferred← citeshttps://doi.org/10.1017/s0305004100050477openalex-snapshot
Chromatic-durable graphs
inferred← citeshttps://doi.org/10.1023/b:joco.0000038912.82046.17openalex-snapshot
Vertex and Tree Arboricities of Graphs
inferred← citeshttps://doi.org/10.1080/00207160.2012.727989openalex-snapshot
Vertex arboricity of planar graphs without chordal 6-cycles
inferred← citeshttps://doi.org/10.1090/s0002-9904-1970-12559-9openalex-snapshot
$B$-sets and coloring problems
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Social Structure Decomposition With Security Issue
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Optimal Induced Universal Graphs and Adjacency Labeling for Trees
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An Analogue to the Heawood Map-Colouring Problem
inferred← citeshttps://doi.org/10.1112/jlms/s2-12.1.97openalex-snapshot
Point Arboricity Critical Graphs Exist
inferred← citeshttps://doi.org/10.1137/110846828openalex-snapshot
Planar Graphs Have Exponentially Many 3-Arboricities
inferred← citeshttps://doi.org/10.1142/s1793830912500279openalex-snapshot
LIST POINT ARBORICITY OF GRAPHS
inferred← citeshttps://doi.org/10.1142/s1793830920500809openalex-snapshot
Vertex arboricity of graphs embedded in a surface of non-negative Euler characteristic
inferred← citeshttps://doi.org/10.1145/3034786.3056115openalex-snapshot
2-3 Cuckoo Filters for Faster Triangle Listing and Set Intersection
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Optimal Induced Universal Graphs and Adjacency Labeling for Trees
inferred← citeshttps://doi.org/10.1155/2017/4259810openalex-snapshot
A Structural Property of Trees with an Application to Vertex‐Arboricity
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Conditional resolvability in graphs: a survey
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A Note on Arboricity of 2-edge-connected Cubic Graphs
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Partitioning Planar Graphs with Girth at Least 6 into Restricted Forest
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Vertex Arboricity Problem of Planar Graphs without Adjacent Short Cycles
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ON VERTEX DISJOINT CYCLES OF MIDDLE AND TOTAL GRAPH OF $K_n$ AND $K_{m,n}$
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Graphs with low genus and girth at least 5 admit an (F2,F6) -partition
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Bipartite Domination in Graphs
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Rings whose total graphs have small vertex-arboricity and arboricity
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Problems of optimal choice on posets and generalizations of acyclic colourings
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B -sets and planar maps
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A conjecture on equitable vertex arboricity of graphs
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On the Complexity of Digraph Colourings and Vertex Arboricity
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RELATIONSHIP BETWEENCOLORING,EMBEDDINGAND DECYCLING NUMBER OF A GRAPH
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Complete Acyclic Colorings
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Decreasing the Maximum Average Degree by Deleting an Independent Set or a $d$-Degenerate Subgraph
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List vertex arboricity of planar graphs without 5-cycles intersecting with 6-cycles
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Planar graphs have exponentially many 3-arboricities
inferred← citeshttps://doi.org/10.48550/arxiv.1606.06114openalex-snapshot
Planar digraphs of digirth four are 2-colourable
inferred← citeshttps://doi.org/10.48550/arxiv.1607.07174openalex-snapshot
The $k$-strong induced arboricity of a graph
inferred← citeshttps://doi.org/10.48550/arxiv.1708.03077openalex-snapshot
A note on the vertex arboricity of signed graphs
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Analogue of DP-coloring on variable degeneracy and its applications on list vertex-arboricity and DP-coloring
inferred← citeshttps://doi.org/10.48550/arxiv.1807.07640openalex-snapshot
Coloring in Graph Streams
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Tulgeity Of Line, Middle And Total Graph Of Wheel Graph Families
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Tulgeity of Line Graphs
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A survey of hereditary properties of graphs
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Chromatic sums for colorings avoiding monochromatic subgraphs
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Hamiltonicity and generalised total colourings of planar graphs
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