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The stress of a graph | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 5، دوره 8، شماره 1، خرداد 2023، صفحه 53-65 اصل مقاله (405.9 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2021.27320.1231 | ||
| نویسندگان | ||
| Raksha Poojary1؛ Arathi Bhat K2؛ Subramanian Arumugam* 3؛ Manjunatha Prasad Karantha4 | ||
| 1Department of Data Science, PSPH, Manipal Academy of Higher Education, Manipal | ||
| 2Department of Mathematics, MIT, Manipal Academy of Higher Education, Manipal | ||
| 3Director (n-CARDMATH) Kalasalingam University Anand Nagar, Krishnankoil-626 126 Tamil Nadu, India | ||
| 4Centre for Advanced Research in Applied Mathematics and Statistics, Manipal Academy of Higher Education, Manipal | ||
| چکیده | ||
| 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 $n$. | ||
| کلیدواژهها | ||
| Centrality measure؛ ranking of vertices؛ path؛ tree؛ block-graph | ||
| مراجع | ||
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