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Far East Journal of Applied Mathematics

Far East Journal of Applied Mathematics
Volume 98, Issue 1, Pages 51 - 71 (January 2018)
http://dx.doi.org/10.17654/AM098010051

THE EXISTENCE CONDITION OF A 4-CONNECTED GRAPH WITH SPECIFIED CONFIGURATIONS

Keiko Kotani and Shunsuke Nakamura

Abstract:

We show that the existence condition of a 4-connected graph G with specified configurations. Also, we obtain that the number of 4â€‘contractible edges of G is at least where denotes the set of those vertices of G which have degree greater than or equal to 5.