The Independence Number Conditions for 2-Factors of a Claw-Free Graph
نویسندگان
چکیده
In 2014, some scholars showed that every 2-connected claw-free graph G with independence number α(G)≤3 is Hamiltonian one exception of family graphs. If a nontrivial path contains only internal vertices degree two and end not two, then we call it branch. A set S branches called branch cut if delete all edges leading to more components than G. We use bond denote minimal cut. branch-bond has an odd branches, odd. this paper, shall characterize graphs such edge α(G)≤5 but no 2-factor. also consider the same problem for those 2-edge-connected α(G)≤4.
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ژورنال
عنوان ژورنال: Axioms
سال: 2022
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms11080417