The stress of a vertex in a graph is the number of geodesics passing through it (A. Shimbel,
1953). A graph is $ k $-stress regular if stress of each of its vertices is $ k $. In this paper, we …

The stress of a vertex is a centrality index, which has been introduced by Shimbel (1953).
The stress of a vertex in a graph is the number of geodesics (shortest paths) passing through …

We define the rest of a vertex v in a graph as the number of geodesics passing through v
minus the degree of v. The total rest of a graph is the sum of rests of all the vertices in that …

Stress is an important centrality measure of graphs applicable to the study of social and
biological networks. We study the stress of paths, cycles, fans and wheels. We determine the …

The stress of a vertex is a node centrality index, which has been introduced by Shimbel
(1953). The stress of a vertex in a graph is the number of geodesics (shortest paths) passing …

The stress of a vertex in a graph is the number of geodesics passing through it. The status of
a vertex v in a graph is the sum of the distances from v to all other vertices. We define the …

We introduce a new topological index for graphs called Modified Kashvi-Tosha stress index
using stresses of nodes. Also, we establish some inequalities, prove some results and …