ENERGY OF GRAPHS AND ITS NEW BOUNDS
Sridhara G, Rajesh Kanna M. R, Parashivamurthy H. L
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Source: Crossref
Published: Sep 24, 2022
DOI: 10.56827/seajmms.2022.1802.15
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In organic chemistry, finding out theoretically the total π−electron energy of conjugated carbon compound is one of the interesting concept. Later during the year 1970, I. Gutman was successful in achieving this by defining a term called energy of a graph, E(G) for any graph G with m edges and n vertices. It is not that easy to find energy of any general graph. This problem was solved by obtaining bounds for E(G). Initially bounds for energy of any graph G are obtained by using McClelland bounds. Koolen and Moulton improved the McClelland’s upper bounds. In this article we established new energy bounds with the help of Holder’s inequality.
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