Computing the Szeged index of 4,4 ׳-bipyridinium dendrimer
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چکیده مقاله:
Let e be an edge of a G connecting the vertices u and v. Define two sets N1 (e | G) and N2(e |G) as N1(e | G)= {xV(G) d(x,u) d(x,v)} and N2(e | G)= {xV(G) d(x,v) d(x,u) }.The number of elements of N1(e | G) and N2(e | G) are denoted by n1(e | G) and n2(e | G) , respectively. The Szeged index of the graph G is defined as Sz(G) ( ) ( ) 1 2 n e G n e G e E . In this paper we compute the Szeged index of a 4,4 ׳-Bipyridinium dendrimer.
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computing the szeged index of 4,4 ׳-bipyridinium dendrimer
let e be an edge of a g connecting the vertices u and v. define two sets n1 (e | g) andn2(e |g) as n1(e | g)= {xv(g) d(x,u) d(x,v)} and n2(e | g)= {xv(g) d(x,v) d(x,u) }.thenumber of elements of n1(e | g) and n2(e | g) are denoted by n1(e | g) and n2(e | g) ,respectively. the szeged index of the graph g is defined as sz(g) ( ) ( ) 1 2 n e g n e g e e . inthis paper we compute the sz...
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عنوان ژورنال
دوره 3 شماره 1
صفحات 67- 72
تاریخ انتشار 2012-02-01
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