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The mutual-visibility problem in a graph $G$ asks for the cardinality of a largest set of vertices $S\subseteq V(G)$ so that for any two vertices $x,y\in S$ there is a shortest $x,y$-path $P$ so that all internal vertices of $P$ are not in $S$. This
Externí odkaz:
http://arxiv.org/abs/2401.02373
We call a graph $k$-geodetic, for some $k\geq 1$, if it is connected and between any two vertices there are at most $k$ geodesics. It is shown that any hyperbolic group with a $k$-geodetic Cayley graph is virtually-free. Furthermore, in such a group
Externí odkaz:
http://arxiv.org/abs/2211.13397
In a connected graph G, the distance between two vertices of G is the length of a shortest path between these vertices. The eccentricity of a vertex u in G is the largest distance between u and any other vertex of G. The total-eccentricity index {\ta
Externí odkaz:
http://arxiv.org/abs/1711.07021
Autor:
Wang Xing-Long, Liu Jia-Bao, Ahmad Maqsood, Kamran Siddiqui Muhammad, Hussain Muhammad, Saeed Muhammad
Publikováno v:
Open Chemistry, Vol 17, Iss 1, Pp 849-864 (2019)
A numeric quantity that comprehend characteristics of molecular graph Γ of chemical compound is known as topological index. This number is, in fact, invariant with respect to symmetry properties of molecular graph Γ. Many researchers have establish
Externí odkaz:
https://doaj.org/article/2c7d7e54eecf4d809a3538a4b550dd8f
Publikováno v:
Asian-European Journal of Mathematics.
In a connected graph G, the distance between two vertices of G is the length of a shortest path between these vertices. The eccentricity of a vertex u in G is the largest distance between u and any other vertex of G. The total-eccentricity index {\ta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4769fa13e69c1ce24f26037716ab87b
https://doi.org/10.1142/s1793557123501383
https://doi.org/10.1142/s1793557123501383
Autor:
Jia-Bao Liu, Muhammad Saeed, Muhammad Kamran Siddiqui, Maqsood Ahmad, Xing-Long Wang, Muhammad Hussain
Publikováno v:
Open Chemistry, Vol 17, Iss 1, Pp 849-864 (2019)
A numeric quantity that comprehend characteristics of molecular graph Γ of chemical compound is known as topological index. This number is, in fact, invariant with respect to symmetry properties of molecular graph Γ. Many researchers have establish
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70bcaed38131cdf891811fc60d5601a4
https://doi.org/10.1515/chem-2019-0109
https://doi.org/10.1515/chem-2019-0109
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