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Planar Graphs with the Maximum Number of Induced 4-Cycles or 5-Cycles.
- Source :
-
Graphs & Combinatorics . May2024, Vol. 40 Issue 3, p1-29. 29p. - Publication Year :
- 2024
-
Abstract
- For large n we determine exactly the maximum numbers of induced C 4 and C 5 subgraphs that a planar graph on n vertices can contain. We show that K 2 , n - 2 uniquely achieves this maximum in the C 4 case, and we identify the graphs which achieve the maximum in the C 5 case. This extends work in a paper by Hakimi and Schmeichel and a paper by Ghosh, Győri, Janzer, Paulos, Salia, and Zamora which together determine both maxima asymptotically. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09110119
- Volume :
- 40
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Graphs & Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 176483579
- Full Text :
- https://doi.org/10.1007/s00373-024-02773-w