Circumference, Minimum Degree and Clique Number
Copyright policy ) Long-Tu Yuan;
Circumference, Minimum Degree and Clique Number
The circumference and the clique number of a graph is the length of a longest cycle and the largest order of a clique in it respectively. We show that the circumference of a 2-connected non-Hamiltonian graph $G$ is at least the sum of its clique number and minimum degree unless $G$ is one of two specific graphs.
- East China Normal University China (People's Republic of)
Pósa's lemma, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), Distance in graphs, minimal crossing pair, Paths and cycles
Pósa's lemma, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), Distance in graphs, minimal crossing pair, Paths and cycles
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selected citations
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 0
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gold
Fields of Science