# The stress of a graph

Document Type : Original paper

Authors

1 Department of Data Science, PSPH, Manipal Academy of Higher Education, Manipal

2 Department of Mathematics, MIT, Manipal Academy of Higher Education, Manipal

3 Director (n-CARDMATH) Kalasalingam University Anand Nagar, Krishnankoil-626 126 Tamil Nadu, India

4 Centre for Advanced Research in Applied Mathematics and Statistics, Manipal Academy of Higher Education, Manipal

Abstract

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 stress of a cut vertex of a graph $G$, when $G$ has at most two cut vertices. We have also identified the graphs with minimum stress and maximum stress in the family of all trees of order $n$ and in the family of all complete bipartite graphs of order $n$.

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Main Subjects

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