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Let G be a connected graph with diameter diam () G and (,) d x y denotes the shortest distance between any two distinct vertices , xy in G. Radio labeling (multi-level distance labeling or distance labeling) of G is a one-to-one mapping : () {0} f V G Z satisfying (,) | () () | () 1 d x y f x f y diam G for all , () x y V G . The span of a… (More)

- Waqas Nazeer, Shin Min Kang, Saima Nazeer, Mobeen Munir, Imrana Kousar, Ammara Sehar +1 other
- Symmetry
- 2016

A vertex v is a peripheral vertex in G if its eccentricity is equal to its diameter, and periphery P(G) is a subgraph of G induced by its peripheral vertices. Further, a vertex v in G is a central vertex if e(v) = rad(G), and the subgraph of G induced by its central vertices is called center C(G) of G. Average eccentricity is the sum of eccentricities of… (More)

- Shin Min Kang, Saima Nazeer, Waqas Nazeer, Arif Rafiq, S. M. Kang, S. Nazeer +2 others
- 2014

the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract A multilevel distance labeling of the graph G is a function f = (V (G), E(G)) on V (G) of G into N ∪ {0} so that |f (u) − f (v)| ≥ diam(G) + 1 − d(u, v) for all u, v ∈ V (G). The… (More)

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