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A survey on automorphism groups and transmission-based graph invariants | ||
| Journal of Discrete Mathematics and Its Applications | ||
| دوره 9، شماره 2، شهریور 2024، صفحه 133-145 اصل مقاله (463.42 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2024.10625.1076 | ||
| نویسندگان | ||
| Reza Sharafdini* 1؛ Mehdi Azadimotlagh2 | ||
| 1Department of Mathematics, Persian Gulf University, Bushehr 75169, I. R. Iran | ||
| 2Department of Computer Engineering of Jam, Persian Gulf University, Jam, I. R. Iran | ||
| تاریخ دریافت: 11 مرداد 1402، تاریخ بازنگری: 17 دی 1402، تاریخ پذیرش: 27 دی 1402 | ||
| چکیده | ||
| The distance $d(u,v)$ between vertices $u$ and $v$ of a connected graph $G$ is equal to the number of edges in a minimal path connecting them. The transmission of a vertex $v$ is defined by $\sigma(v)=\sum\limits_{u\in V(G)}{d(v,u)}$. A topological index is said to be a transmission-based topological index (TT index) if it includes the transmissions $\sigma(u)$ of vertices of $G$. Because $\sigma(u)$ can be derived from the distance matrix of $G$, it follows that transmission-based topological indices form a subset of distance-based topological indices. In this article we survey some results on the computation of some transmission-based graph invariants of intersection graph, hypercube graph, Kneser graph, unitary Cayley graph and Paley graph. | ||
| کلیدواژهها | ||
| Wiener index؛ hypercube graph؛ intersection graph؛ Kneser graph؛ Paley graph | ||
| مراجع | ||
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