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- W2375772034 abstract "A path P in G is called a simple path of G if, for each interior vertex v of P, d G(v)=2. A 2 connected planar graph G is called a generalized polygon path if G * formed by the following method is a path: corresponding to each interior face f of ( is a plane graph of G), there is a vertex f * of G *; two vertices f * and g * are adjacent in G * if and only if the boundaries of the corresponding interior faces of intesect a simple path of 。 Let j=｜E(G)｜-｜V(G)｜ and m(G) be the number of cycles in G. We prove the following result: Let G be a 2 connected graph being not a generalized polygon path, then m(G)≥j 2+5j2-1." @default.
- W2375772034 created "2016-06-24" @default.
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- W2375772034 date "1999-01-01" @default.
- W2375772034 modified "2023-09-23" @default.
- W2375772034 title "The Number of Cycles in a 2 Connected Graph Being Not a Generalized Polygon Path" @default.
- W2375772034 hasPublicationYear "1999" @default.
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