IJAM: Volume 37, No. 3 (2024)

DOI: 10.12732/ijam.v37i3.1

SUM-CONNECTIVITY ENERGY ON GRAPH OPERATIONS

S. Sripriya 1 , A. Anuradha 2,§

1,2 Department of Mathematics

Faculty of Engineering and Technology

SRM Institute of Science and Technology

Kattankulathur 603203, Tamil Nadu, INDIA

Abstract. Consider a simple, finite, undirected, connected graph G on q vertices. Depending

on the context, various matrix representations of G are available in literature. One such matrix representation is sum-connectivity matrix SC(G) which is of order q × q with G vertices indexing its rows and columns. The (ij)th entry of SC(G) is 1 / di+dj if the corresponding vertex pair (vi, vj) ∈ E; otherwise it is 0. The summation of absolute eigenvalues of SC(G) is called

sum-connectivity energy and denoted as E[SC(G)]. In the article, we determine sum-connectivity energy for some generalized graph operations other than product graphs. Further, we establish the results in terms of the base graphs.

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How to cite this paper?
DOI: 10.12732/ijam.v37i3.1
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 3

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IJAM: Volume 37, No. 3 (2024)

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