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Forbidden Subgraphs for Chorded Pancyclicity

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 نشر من قبل Victor Larsen
 تاريخ النشر 2017
  مجال البحث
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We call a graph $G$ pancyclic if it contains at least one cycle of every possible length $m$, for $3le mle |V(G)|$. In this paper, we define a new property called chorded pancyclicity. We explore forbidden subgraphs in claw-free graphs sufficient to imply that the graph contains at least one chorded cycle of every possible length $4, 5, ldots, |V(G)|$. In particular, certain paths and triangles with pendant paths are forbidden.

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