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

Author

Listed:
  • Julian Allagan

    (Department of Mathematics, Computer Science and Engineering Technology, Elizabeth City State University, Elizabeth City, NC 27909, USA)

  • Jianning Su

    (Perimeter College, Georgia State University, Atlanta, GA 30303, USA)

  • Weizheng Gao

    (Department of Mathematics, Computer Science and Engineering Technology, Elizabeth City State University, Elizabeth City, NC 27909, USA)

  • Shanzhen Gao

    (Computer Information Systems, Virginia State University, Petersburg, VA 23806, USA)

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.

Suggested Citation

  • Julian Allagan & Jianning Su & Weizheng Gao & Shanzhen Gao, 2025. "Choice Numbers of Chordal, Chordless, and Some Non-Chordal Graphs," Mathematics, MDPI, vol. 13(8), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:8:p:1337-:d:1638010
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