On Reciprocal Complementary Wiener Index of a Graph

نویسندگان
Ramane, H. S. ID 1
Manjalapur, V. V. ID 2
Shindhe, S. D. ID 3
Joshi, V. B. ID 4

1 Karnatak University, Dharwad

2 Karnatak University, Dharwad

3 Karnatak University, Dharwad

4 Karnatak University, Dharwad

doi
10.22052/ijmc.2017.69915.1259
چکیده

The eccentricity of a vertex v of graph G is the largest distance between and any other vertex of a graph . The reciprocal complementary Wiener (RCW) index of is defined as, , where D is the diameter of G and is the distance between the vertices and . In this paper we have obtained bounds for the index in terms of eccentricities and given an algorithm to compute the index.

کلیدواژه‌ها
Eccentricity, diameter, reciprocal complementary Wiener index, self-centered graph