The Non-Neighbor Harmonic Index on Elementary Graph Operations
نویسندگان
چکیده
منابع مشابه
on the harmonic index of graph operations
the harmonic index of a connected graph $g$, denoted by $h(g)$, is defined as $h(g)=sum_{uvin e(g)}frac{2}{d_u+d_v}$ where $d_v$ is the degree of a vertex $v$ in g. in this paper, expressions for the harary indices of the join, corona product, cartesian product, composition and symmetric difference of graphs are derived.
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The first general Zagreb index is defined as $M_1^lambda(G)=sum_{vin V(G)}d_{G}(v)^lambda$. The case $lambda=3$, is called F-index. Similarly, reformulated first general Zagreb index is defined in terms of edge-drees as $EM_1^lambda(G)=sum_{ein E(G)}d_{G}(e)^lambda$ and the reformulated F-index is $RF(G)=sum_{ein E(G)}d_{G}(e)^3$. In this paper, we compute the reformulated F-index for some grap...
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Let $G$ be a finite and simple graph with edge set $E(G)$. The revised Szeged index is defined as $Sz^{*}(G)=sum_{e=uvin E(G)}(n_u(e|G)+frac{n_{G}(e)}{2})(n_v(e|G)+frac{n_{G}(e)}{2}),$ where $n_u(e|G)$ denotes the number of vertices in $G$ lying closer to $u$ than to $v$ and $n_{G}(e)$ is the number of equidistant vertices of $e$ in $G$. In this paper...
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ژورنال
عنوان ژورنال: International Journal of Scientific Research in Mathematical and Statistical Sciences
سال: 2018
ISSN: 2348-4519
DOI: 10.26438/ijsrmss/v5i5.204209