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Investigation on splice graphs by exploting certain topological indices

V. Lokesha|M. MANJUNATH|K. Z. Yasmeen
장전수학회 (Jangjeon Mathematical Society)|2020.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제23권 제2호|pp. 271-282|DOI 10.17777/pjms.2020.23.2.013

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참고문헌

키워드

Topological indicesGraph operationsSplice graph
주제분류수학

초록

Let G1 and G2 be simple connected graphs with disjoint vertex sets V (G1) and V (G2) respectively. For given vertices a1 2 V (G1) and a2 2 V (G2) a splice of G1 and G2 by vertices a1 and a2 defined by identifying the vertices a1 and a2 in the union of G1 and G2. In this article the explicit interpretation of ISI;EM1;ABC and SK1 index in terms of the graph size and maximum or minimum vertex degrees of special splice graphs are obtained.

Abstract

Let G1 and G2 be simple connected graphs with disjoint vertex sets V (G1) and V (G2) respectively. For given vertices a1 2 V (G1) and a2 2 V (G2) a splice of G1 and G2 by vertices a1 and a2 defined by identifying the vertices a1 and a2 in the union of G1 and G2. In this article the explicit interpretation of ISI;EM1;ABC and SK1 index in terms of the graph size and maximum or minimum vertex degrees of special splice graphs are obtained.

참고문헌 (19)

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