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SKEW-ENERGY OF t-DUPLICATION GRAPH
SHANTHAKUMARI. Y,V. LOKESHA 장전수학회 2022 Proceedings of the Jangjeon mathematical society Vol.25 No.4
Graph spectra provide much information about the structure of the graph. In this paper, we figure out the energy of a graph derived from simpler graphs by certain modifications. In the present work, we define t-duplication graph DtG and disclosed that the energy ε(DtG) =2√tε(G) and ε(DyGσ) = 2√tε(Gσ).
Average degree exponent sum energy of graphs
Y. Shanthakumari,M. Smitha,V. Lokesha 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.3
In this paper we introduce new energy of graph that is average degree exponent sum energy. We obtain characteristic polynomial of the average degree exponent sum of standard graphs and also obtained few graphs by some graph operations.
VL RECIPROCAL STATUS INDEX AND COINDEX OF CONNECTED GRAPHS
V. Lokesha,S. Suvarna,Shanthakumari Y 장전수학회 2022 Proceedings of the Jangjeon mathematical society Vol.25 No.3
The reciprocal status of a vertex u in a connected graph G, is defined as the sum of reciprocal of the distances between u and all other vertices of a graph G. Relation between VL reciprocal status index and VL reciprocal status coindices are established. Also these indices are computed for VL reciprocal status transmission regular graphs. Further the VL reciprocal status index and coindex of some standard graphs are obtained.
Skew-Zagreb energy of directed graphs
V. Lokesha,Y. Shanthakumari,P. S. K. Reddy 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.4
In molecular graph, vertex symbolizes atom and edge rep- resents bond and degree of a vertex closely related to valence in chem- istry. In the year 2010, Adiga et al. were introduced the skew energy for digraphs. Using this new combinatorial technique for digraphs, we introduced and analyzed the skew first Zagreb energy (SFZE) and skew second Zagreb energy (SSZE) of some digraphs.