Graphs with fixed number of pendent vertices and minimal Zeroth-order general Randić index

Guifu Su, Jianhua Tu and Kinkar Ch. Das

Applied Mathematics and Computation, 2015, vol. 270, issue C, 705-710

Abstract: We investigate the graph with minimal Zeroth-order general Randić index in terms of its order n, pendent number N1 and cyclomatic number γ ≥ 0. Extremal graphs were completely characterized for cases of γ=0,1,2, which can be directly extended for graphs with cyclomatic number γ ≥ 3.

Keywords: Zeroth-order general Randić index; Extremal graphs; Pendent vertex; Cyclomatic number (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:705-710

DOI: 10.1016/j.amc.2015.08.060

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