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On decomposition of graphs

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

inferredcites →https://doi.org/10.1002/zamm.19600400516openalex-snapshot
C. Berge, Théorie des graphes et ses applications. VIII + 277 S. m. 117 Abb. Paris 1958. Dunod Editeur. Preis geb. 3400 F
inferredcites →https://doi.org/10.1007/978-0-8176-4842-8_19openalex-snapshot
Graph Theory and Probability
inferredcites →https://doi.org/10.1007/bf01886396openalex-snapshot
Partition relations for cardinal numbers
inferredcites →https://doi.org/10.1007/bf02020444openalex-snapshot
On chromatic number of graphs and set-systems
inferredcites →https://doi.org/10.1007/bf02564361openalex-snapshot
Teilmengen von Mengen mit Relationen
inferredcites →https://doi.org/10.1007/bfb0066788openalex-snapshot
On chromatic number of graphs and set systems
inferredcites →https://doi.org/10.1090/s0002-9904-1956-10036-0openalex-snapshot
A partition calculus in set theory
inferredcites →https://doi.org/10.1112/jlms/s1-35.4.445openalex-snapshot
A Construction of Graphs without Triangles having Pre-Assigned Order and Chromatic Number
inferredcites →https://doi.org/10.1112/jlms/s1-39.1.12openalex-snapshot
Decomposition of Finite Graphs Into Forests
inferredcites →https://doi.org/10.4153/cjm-1959-003-9openalex-snapshot
Graph Theory and Probability
inferredcites →https://doi.org/10.4153/cjm-1962-060-4openalex-snapshot
The Construction of Certain Graphs

What points at this work

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

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Defective coloring revisited
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Open problems of Paul Erdos in graph theory
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Destroying Noncomplete Regular Components in Graph Partitions
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Brooks' Theorem and Beyond
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Approximation of Constraint Satisfaction via local search
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The Graph Coloring Problem: A Bibliographic Survey
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Paul Erdős’ Set Theory
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Bipartizing with a Matching
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Private Graph Colouring with Limited Defectiveness
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Vertex-Coloring with Star-Defects
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My Top 10 Graph Theory Conjectures and Open Problems
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The Path Partition Conjecture
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Approximation Algorithms for the Consecutive Ones Submatrix Problem on Sparse Matrices
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The Hypocoloring Problem: Complexity and Approximability Results when the Chromatic Number Is Small
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Strong Colorings of Hypergraphs
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Independent Sets in Bounded-Degree Hypergraphs
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Pairwise-Interaction Games
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Grid Drawings and the Chromatic Number
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Erdős’s Work on Infinite Graphs
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About a Combinatorial Proof of the Noisy Channel Coding Theorem
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True Embedding Partition Relations
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Graphs and degree sequences. II
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Relaxed chromatic numbers of graphs
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A consistent edge partition theorem for infinite graphs
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Approximations of independent sets in graphs
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A survey of the theory of potentially P-graphic and forcibly P-graphic degree sequences
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Colour Number, Capacity, and Perfectness of Directed Graphs
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Solving Partition Problems with Colour-Bipartitions
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The Consecutive Ones Submatrix Problem for Sparse Matrices
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On two problems in graph Ramsey theory
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A note on the Engelking-Karłowicz theorem
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On the computational complexity of the bipartizing matching problem
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Co-2-plex vertex partitions
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Acyclic improper colouring of graphs with maximum degree 4
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A bound on the chromatic number of a graph
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Chromatic number, girth and maximal degree
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Another bound on the chromatic number of a graph
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On a problem of chvatal
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Chromatic number of finite and infinite graphs and hypergraphs
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Graph decomposition with constraints on the minimum degree
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Geometrical embeddings of graphs
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Vertex arboricity and maximum degree
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Graphical decompositions
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On an upper bound of a graph's chromatic number, depending on the graph's degree and density
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A note on a cycle partition problem
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Reprint of: Grid representations and the chromatic number
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A hypocoloring model for batch scheduling
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Independent sets in bounded-degree hypergraphs
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On the existence of vertex-disjoint subgraphs with high degree sum
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Majority coloring game
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A comparison of integer programming models for the partial directed weighted improper coloring problem
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Partitions of multigraphs under minimum degree constraints
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A note on partitions of graphs under degree constraints
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On a conjecture of Schweser and Stiebitz
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List injective edge-coloring of subcubic graphs
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Path partitions and Pn -free sets
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Graph factors and factorization: 1985–2003: A survey
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The Path Partition Conjecture is true for claw-free graphs
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Operator decomposition of graphs and the reconstruction conjecture
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Partitions of graphs into cographs
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The Path Partition Conjecture is true for some generalizations of tournaments
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Partitioning and coloring graphs with degree constraints
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On 1 -improper 2 -coloring of sparse graphs
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The m -degenerate chromatic number of a digraph
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Facially-constrained colorings of plane graphs: A survey
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On partitions of K2,3 -free graphs under degree constraints
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Relaxed equitable colorings of planar graphs with girth at least 8
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Induced subgraphs with many repeated degrees
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Defective DP-colorings of sparse simple graphs
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A Catlin-type theorem for graph partitioning avoiding prescribed subgraphs
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Generalized DP-colorings of graphs
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Coloring a graph with Δ−1 colors: Conjectures equivalent to the Borodin–Kostochka conjecture that appear weaker
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On 2-defective DP-colorings of sparse graphs
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Defective DP-colorings of sparse multigraphs
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Injective edge-coloring of graphs with given maximum degree
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Majority choosability of countable graphs
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Satisfactory graph partition, variants, and generalizations
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On a tree-partition problem
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Almost-Fisher families
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Vertex-disjoint subgraphs with high degree sums
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Embedding graphs in Euclidean space
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Bounds and Fixed-Parameter Algorithms for Weighted Improper Coloring
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Vertex coloring edge-weighted digraphs
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2-subcoloring is NP-complete for planar comparability graphs
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Almost-Fisher families
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Embedding graphs in Euclidean space
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Relaxed two-coloring of cubic graphs
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A Cantor-Bernstein-type theorem for spanning trees in infinite graphs
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Isomorphic bisections of cubic graphs
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Immersion and clustered coloring
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Subcolorings and the subchromatic number of a graph
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Generalized independence and domination in graphs
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Graph partitions with minimum degree constraints
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Variable degeneracy: extensions of Brooks’ and Gallai's theorems
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References
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Defective and clustered choosability of sparse graphs
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Nondegenerate colourings in the Brooks theorem
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Ascending Domination Decomposition of Subdivision of Graphs
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An Asymptotic Result for the Path Partition Conjecture
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Majority Colourings of Digraphs
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Colorings and transversals of graphs
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Невырожденные раскраски в теореме Брукса
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Acyclic, Star and Oriented Colourings of Graph Subdivisions
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A note on vertex partitions
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Brooks' Theorem and Beyond
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A transference principle for Ramsey numbers of bounded degree graphs
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Bounds and Fixed-Parameter Algorithms for Weighted Improper Coloring (Extended Version)
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2-subcoloring is NP-complete for planar comparability graphs
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Colorings with Fractional Defect
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Partitions of multigraphs under degree constraints
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A note on choosability with defect 1 of graphs on surfaces
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Factorizations of regular graphs of infinite degree
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Exact defective colorings of graphs
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Vertex partition of hypergraphs and maximum degenerate subhypergraphs
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A survey of hereditary properties of graphs
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Uniquely partitionable graphs
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A path(ological) partition problem
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Generalized Ramsey theory and decomposable properties of graphs
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Generalized chromatic numbers and additive hereditary properties of graphs
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A survey of the Path Partition Conjecture
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Countable graphs are majority 3-choosable
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Low-degree Graph Partitioning via Local Search with Applications to Constraint Satisfaction, Max Cut, and Coloring
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Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
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Vertex-Coloring with Defects
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La conjecture de partitionnement des chemins
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Claw-free graphs and two conjectures on omega, Delta, and chi
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