Proximity, remoteness and maximum degree in graphs
نویسندگان
چکیده
The average distance of a vertex $v$ connected graph $G$ is the arithmetic mean distances from to all other vertices $G$. proximity $\pi(G)$ and remoteness $\rho(G)$ are minimum maximum $G$, respectively. In this paper, we give upper bounds on for graphs given order, degree degree. Our sharp apart an additive constant.
منابع مشابه
New bounds on proximity and remoteness in graphs
The average distance of a vertex $v$ of a connected graph $G$is the arithmetic mean of the distances from $v$ to allother vertices of $G$. The proximity $pi(G)$ and the remoteness $rho(G)$of $G$ are defined as the minimum and maximum averagedistance of the vertices of $G$. In this paper we investigate the difference between proximity or remoteness and the classical distanceparameters diameter a...
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the average distance of a vertex $v$ of a connected graph $g$is the arithmetic mean of the distances from $v$ to allother vertices of $g$. the proximity $pi(g)$ and the remoteness $rho(g)$of $g$ are defined as the minimum and maximum averagedistance of the vertices of $g$. in this paper we investigate the difference between proximity or remoteness and the classical distanceparameters diameter a...
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ژورنال
عنوان ژورنال: Discrete Mathematics & Theoretical Computer Science
سال: 2022
ISSN: ['1365-8050', '1462-7264']
DOI: https://doi.org/10.46298/dmtcs.9432