منابع مشابه
Bounds on Gutman Index
The Gutman index (also known as Schultz index of the second kind) of a graph G is defined as Gut(G) = ∑ u,v∈V (G) d(u)d(v)d(u, v). We show that among all graphs on n vertices, the star graph Sn has minimal Gutman index. In addition, we present upper and lower bounds on Gutman index for graphs with minimal and graphs with maximal Gutman index. Corresponding author Supported by project 1M0545 of ...
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In this paper, we provide exact value of the multiplicative version of the reciprocal degree distance and the multiplicative version of the reciprocal Gutman index of Cartesian product of complete graphs. Also, we establish sharp upper bounds for the multiplicative version of the reciprocal degree distance and multiplicative version of the reciprocal Gutman index of strong product of graphs.
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in this paper, the degree distance and the gutman index of the corona product of two graphs are determined. using the results obtained, the exact degree distance and gutman index of certain classes of graphs are computed.
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the gutman index and degree distance of a connected graph $g$ are defined as begin{eqnarray*} textrm{gut}(g)=sum_{{u,v}subseteq v(g)}d(u)d(v)d_g(u,v), end{eqnarray*} and begin{eqnarray*} dd(g)=sum_{{u,v}subseteq v(g)}(d(u)+d(v))d_g(u,v), end{eqnarray*} respectively, where $d(u)$ is the degree of vertex $u$ and $d_g(u,v)$ is the distance between vertices $u$ and $v$. in th...
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An independent broadcast on a connected graph $G$is a function $f:V(G)to mathbb{N}_0$such that, for every vertex $x$ of $G$, the value $f(x)$ is at most the eccentricity of $x$ in $G$,and $f(x)>0$ implies that $f(y)=0$ for every vertex $y$ of $G$ within distance at most $f(x)$ from $x$.The broadcast independence number $alpha_b(G)$ of $G$is the largest weight $sumlimits_{xin V(G)}f(x)$of an ind...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2014
ISSN: 0166-218X
DOI: 10.1016/j.dam.2014.04.004