On Extended Adjacency Index with Respect to Acyclic, Unicyclic and Bicyclic Graphs

Bin Yang, Vinayak V. Manjalapur, Sharanu P. Sajjan, Madhura M. Mathai and Jia-Bao Liu
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Bin Yang: Department of Computer Science and Technology, Hefei University, Hefei 230601, China
Vinayak V. Manjalapur: Department of Mathematics, KLE Society’s, Basavaprabhu Kore Arts, Science and Commerce College, Chikodi 591201, Karnataka, India
Sharanu P. Sajjan: Department of Computer Science, Government First Grade College for Women, Jamkhandi 587301, India
Madhura M. Mathai: Department of Mathematics, KLE Society’s, Raja Lakhamagouda Science Institute, Belgaum 590001, Karnataka, India
Jia-Bao Liu: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China

Mathematics, 2019, vol. 7, issue 7, 1-9

Abstract: For a (molecular) graph G , the extended adjacency index E A ( G ) is defined as Equation (1). In this paper we introduce some graph transformations which increase or decrease the extended adjacency ( E A ) index. Also, we obtain the extremal acyclic, unicyclic and bicyclic graphs with minimum and maximum of the E A index by a unified method, respectively.

Keywords: degree of vertex; extended adjacency index (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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