Reciprocal Distance Spectral Polynomial for Join of Two Graphs

Year 2026, Volume: 18 Issue: 1, 216 - 219, 23.02.2026

Daneshwari Patil , H.s. Ramane

https://doi.org/10.47000/tjmcs.1473404

https://izlik.org/JA63KA63EJ

Abstract

Reciprocal distance matrix (Harary matrix) of a connected graph $G$ is $RD(G)=[\frac{1}{d_{ij}}]$ with $d_{ij}$ as distance between vertices $v_i$ and $v_j$. $RD$-spectral polynomial has been studied for join of two regular graphs when both of them are of diameter $\leq2$. Present work focus on the study of $RD$-spectral polynomial for join of any two graphs using the coronal concept.

Keywords

Join of two graphs , $RD$-matrix , RD-spectral polynomial.

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