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Title

Peripheral hosoya polynomial of composite graphs

Peripheral hosoya polynomial of composite graphs
Year: 1401
COI: JR_COMB-11-2_001
Language: EnglishView: 36
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Authors

Anteneh Ali - Department of Mathematics, Mangalore University, Mangalore-۵۷۴۱۹۹, India
Kishori Narayankar - Department of Mathematics, Mangalore University, Mangalore-۵۷۴۱۹۹, India

Abstract:

Peripheral Hosoya polynomial of a graph G is defined as‎, ‎ \begin{align*}‎ ‎ &PH(G,\lambda)=\sum_{k\geq ۱}d_P(G,k)\lambda^k,\\‎ ‎ \text{where d_P(G,k) is the number} &\text{ of pairs of peripheral vertices at distance k in G.}‎ ‎ \end{align*}‎ Peripheral Hosoya polynomial of composite graphs viz.‎, ‎G_۱\times G_۲ the Cartesian product‎, ‎G_۱+G_۲ the join‎, ‎G_۱[G_۲] the composition‎, ‎G_۱\circ G_۲ the corona and G_۱\{G_۲\} the cluster of arbitrary connected graphs G_۱ and G_۲ are computed and their peripheral Wiener indices are stated as immediate consequences‎.

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Ali, Anteneh and Narayankar, Kishori,1401,Peripheral hosoya polynomial of composite graphs,https://civilica.com/doc/1307312

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