Title: | Some new results on energy of graphs |
Authors: | Vaidya, Samir K. Popat, Kalpesh M. |
Issue Date: | 2017 |
Publisher: | MATCH Communications in Mathematical and in Computer Chemistry |
Citation: | Vaidya, S. K., & Popat, K. M. (2017). Some new results on energy of graphs. MATCH Commun. Math. Comput. Chem, 77, 589-594. |
Abstract: | The eigenvalue of a graph G is the eigenvalue of its adjacency matrix. The energy E (G) of G is the sum of absolute values of its eigenvalues. A natural question arises: How the energy of a given graph G can be related with the graph obtained from G by means of some graph operations? In order to answer this question, we have considered two graphs namely, splitting graph S′(G) and shadow graph D2 (G). It has been proven that E (S′(G))=√ 5 E (G) and E (D2 (G))= 2E (G). |
URI: | http://10.9.150.37:8080/dspace//handle/atmiyauni/815 |
ISSN: | 0340-6253 |
Appears in Collections: | 01. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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294) 13100_Kalpesh Mansukhlal Popat.pdf | 600.89 kB | Adobe PDF | View/Open |
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