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.
Sharafdini, R., & Azadimotlagh, M. (2024). A survey on automorphism groups and transmission-based graph invariants. Journal of Discrete Mathematics and Its Applications, 9(2), 133-145. doi: 10.22061/jdma.2024.10625.1076
MLA
Reza Sharafdini; Mehdi Azadimotlagh. "A survey on automorphism groups and transmission-based graph invariants". Journal of Discrete Mathematics and Its Applications, 9, 2, 2024, 133-145. doi: 10.22061/jdma.2024.10625.1076
HARVARD
Sharafdini, R., Azadimotlagh, M. (2024). 'A survey on automorphism groups and transmission-based graph invariants', Journal of Discrete Mathematics and Its Applications, 9(2), pp. 133-145. doi: 10.22061/jdma.2024.10625.1076
VANCOUVER
Sharafdini, R., Azadimotlagh, M. A survey on automorphism groups and transmission-based graph invariants. Journal of Discrete Mathematics and Its Applications, 2024; 9(2): 133-145. doi: 10.22061/jdma.2024.10625.1076
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