Smallest cubic and quartic graphs with a given number of cutpoints and bridges

Gary Chartrand, Farrokh Saba, John K. Cooper, Frank Harary and Curtiss E. Wall

International Journal of Mathematics and Mathematical Sciences, 1982, vol. 5, 1-8

Abstract:

For positive integers b and c , with c even, satisfying the inequalities b + 1 ≤ c ≤ 2 b , the minimum order of a connected cubic graph with b bridges and c cutpoints is computed. Furthermore, the structure of all such smallest cubic graphs is determined. For each positive integer c , the minimum order of a quartic graph with c cutpoints is calculated. Moreover, the structure and number of all such smallest quartic graphs are determined.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:238796

DOI: 10.1155/S0161171282000052

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