ATOM BOND-CONNECTIVITY ENERGY OF A GRAPH

ATOM BOND-CONNECTIVITY ENERGY OF A GRAPH

The purpose of this paper is to introduce and investigate the atom bond-connectivity energy ABCE(G) of a graph G. We present some upper and lower bounds for ABCE(G) and calculate it for several graph classes and also for some graphs with one edge deleted which enables us to calculate this index for...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2024-09, Vol.14 (4), p.1689
Hauptverfasser: Prakasha, K.N, Reddy, P.S.K, Cangul, I.N, Purushotham, S
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Atomic structure
Chemical bonds
Connectivity
Eigenvalues
Electronic structure
Energy
Graph theory
Graphs
Lower bounds
Mathematics
Maxima and minima
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Zusammenfassung:The purpose of this paper is to introduce and investigate the atom bond-connectivity energy ABCE(G) of a graph G. We present some upper and lower bounds for ABCE(G) and calculate it for several graph classes and also for some graphs with one edge deleted which enables us to calculate this index for larger graphs by means of smaller graphs. Also ABCE(G) is calculated for some complements of several graphs.. Keywords: Atom bond-connectivity matrix, atom bond-connectivity energy, atom bond-connectivity characteristic polynomial, k-complement, k(i)-complement. AMS Subject Classification: 05C50
ISSN:2146-1147
2146-1147