| Autor: |
Kulli V.R., Chaluvaraju B., Boregowda H.S. |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
|
| Zdroj: |
Discussiones Mathematicae Graph Theory, Vol 39, Iss 2, Pp 505-517 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
2083-5892 |
| DOI: |
10.7151/dmgt.2098 |
| Popis: |
Let G = (V, E) be a connected graph with vertex set V (G) and edge set E(G). The product connectivity Banhatti index of a graph G is defined as, PB(G)=∑ue1dG(u)dG(e)$PB(G) = \sum\nolimits_{ue} {{1 \over {\sqrt {{d_G}(u){d_G}(e)} }}}$ where ue means that the vertex u and edge e are incident in G. In this paper, we determine P B(G) of some standard classes of graphs. We also provide some relationship between P B(G) in terms of order, size, minimum / maximum degrees and minimal non-pendant vertex degree. In addition, we obtain some bounds on P B(G) in terms of Randić, Zagreb and other degree based topological indices of G. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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