Choice Numbers of Chordal, Chordless, and Some Non-Chordal Graphs

We prove that chordal graphs are chromatic-choosable and present a decomposition theorem to help estimate the choice numbers for certain classes of chordless and non-chordal graphs.

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Publication Details

Journal
Mathematics
Published
2025-04-19
DOI
https://doi.org/10.3390/math13081337
Citations
1
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
1.50
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article

Choice Numbers of Chordal, Chordless, and Some Non-Chordal Graphs

Shanzhen Gao, Jianning Su, Julian D. Allagan, Weizheng Gao
1 citations
Mathematics
Advanced Graph Theory Research
1.50
article

Choice Numbers of Chordal, Chordless, and Some Non-Chordal Graphs

Shanzhen Gao, Jianning Su, Julian D. Allagan, Weizheng Gao
article en
1 citations

Abstract

We prove that chordal graphs are chromatic-choosable and present a decomposition theorem to help estimate the choice numbers for certain classes of chordless and non-chordal graphs.

MathematicsVol. 13(8)
Virginia State University (US), Georgia State University (US), Elizabeth City State University (US)
Openalex Percentile: Top 18%
Advanced Graph Theory Research
1.50
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