|
|
|
|
ECCENTRIC CONNECTIVITY INDEX AND ECCENTRIC DISTANCE SUM OF SOME GRAPH OPERATIONS
|
|
|
|
|
|
|
|
نویسنده
|
وومار الکین ,اسکندر بوزوهراگول
|
|
منبع
|
transactions on combinatorics - 2013 - دوره : 2 - شماره : 1 - صفحه:103 -111
|
|
چکیده
|
Let g = (v;e) be a connected graph. the eccentric connectivity index of g, c(g),is defined as c(g) = pv2v (g) deg(v)ec(v), where deg(v) is the degree of a vertex v and ec(v) isits eccentricity. the eccentric distance sum of g is defined as d(g) = pv2v (g) ec(v)d(v), whered(v) = pu2v (g) d(u; v). in this paper, we calculate the eccentric connectivity index and eccentricdistance sum of generalized hierarchical product of graphs. moreover, we present the exact formulaefor the eccentric connectivity index of f-sum graphs in terms of some invariants of the factors.
|
|
کلیدواژه
|
Eccentric connectivity index ,eccentric distance sum ,generalized hierarchical product ,F-sum graphs
|
|
آدرس
|
Xinjiang University, College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P R China, China, Xinjiang University, College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P R China, China
|
|
پست الکترونیکی
|
buzoragul2005@163.com
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|