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Independence Numbers of Planar Contact Graphs

✍ Scribed by Swanepoel


Publisher
Springer
Year
2002
Tongue
English
Weight
232 KB
Volume
28
Category
Article
ISSN
0179-5376

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Let G be a k-connected graph of order n, := (G) the independence number of G, and c(G) the circumference of G. ChvΓ‘tal and Erdo ˝s proved that if ≀ k then G is hamiltonian. For β‰₯ k β‰₯ 2, Fouquet and Jolivet in 1978 made the conjecture that c(G) β‰₯ k(n+ -k) / . Fournier proved that the conjecture is tr