Partial k-trees with maximum chromatic number

Janka Chlebikova

doi:10.1016/S0012-365X(02)00586-1

Partial k-trees with maximum chromatic number

Janka Chlebikova

Research output: Contribution to journal › Article › peer-review

Abstract

The paper is concerned with partial k-trees whose chromatic number is maximal, i.e. equal to (k+1). We have proved that any such graph contains a triangle (if k>=3), but need not contain a clique on ⌊(k+5)/2⌋ vertices as a subgraph.

Original language	English
Pages (from-to)	269-276
Journal	Discrete Mathematics
Volume	259
Issue number	1-3
Early online date	4 Sept 2002
DOIs	https://doi.org/10.1016/S0012-365X(02)00586-1
Publication status	Published - 2002

Keywords

Partial k-tree
Treewidth
Chromatic number
Clique number

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10.1016/S0012-365X(02)00586-1

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title = "Partial k-trees with maximum chromatic number",

abstract = "The paper is concerned with partial k-trees whose chromatic number is maximal, i.e. equal to (k+1). We have proved that any such graph contains a triangle (if k>=3), but need not contain a clique on ⌊(k+5)/2⌋ vertices as a subgraph.",

keywords = "Partial k-tree, Treewidth, Chromatic number, Clique number",

author = "Janka Chlebikova",

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AB - The paper is concerned with partial k-trees whose chromatic number is maximal, i.e. equal to (k+1). We have proved that any such graph contains a triangle (if k>=3), but need not contain a clique on ⌊(k+5)/2⌋ vertices as a subgraph.

KW - Partial k-tree

KW - Treewidth

KW - Chromatic number

KW - Clique number

U2 - 10.1016/S0012-365X(02)00586-1

DO - 10.1016/S0012-365X(02)00586-1

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VL - 259

SP - 269

EP - 276

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

Partial k-trees with maximum chromatic number

Abstract

Keywords

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