Sufficient conditions on the zeroth-order general Randic index for maximally edge-connected digraphs
نویسنده
چکیده مقاله:
Let D be a digraph with vertex set V(D) .For vertex v V(D), the degree of v, denoted by d(v), is defined as the minimum value if its out-degree and its in-degree . Now let D be a digraph with minimum degree and edge-connectivity If is real number, then the zeroth-order general Randic index is defined by . A digraph is maximally edge-connected if . In this paper we present sufficient conditions for digraphs to be maximally edge-connected in terms of the zeroth-order general Randic index, the order and the minimum degree when Using the associated digraph of a graph, we show that our results include some corresponding known results on graphs.
منابع مشابه
sufficient conditions on the zeroth-order general randic index for maximally edge-connected digraphs
let $d$ be a digraph with vertex set $v(d)$. for vertex $vin v(d)$, the degree of $v$,denoted by $d(v)$, is defined as the minimum value if its out-degree and its in-degree.now let $d$ be a digraph with minimum degree $deltage 1$ and edge-connectivity$lambda$. if $alpha$ is real number, then the zeroth-order general randic index is definedby $sum_{xin v(d)}(d(x))^{alpha}$. a digraph is maximall...
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عنوان ژورنال
دوره 1 شماره 1
صفحات 1- 13
تاریخ انتشار 2016-06-30
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