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Cycle transit function and betweenness | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 9، دوره 8، شماره 4، اسفند 2023، صفحه 725-735 اصل مقاله (466.67 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2022.27730.1332 | ||
| نویسندگان | ||
| Lekshmi Kamal K Sheela1؛ M. Changat* 2؛ Asha Paily3 | ||
| 1Department of Futures Studies University of Kerala Karyavattom | ||
| 2Department of Futures Studies University of Kerala Karyavattom Trivandrum | ||
| 3Department of Futures Studies University of Kerala Karyavattom Trivandrum | ||
| چکیده | ||
| Transit functions are introduced to study betweenness, intervals and convexity in an axiomatic setup on graphs and other discrete structures. Prime example of a transit function on graphs is the well studied interval function of a connected graph. In this paper, we study the Cycle transit function $\mathcal{C}( u,v)$ on graphs which is a transit function derived from the interval function. We study the betweenness properties and also characterize graphs in which the cycle transit function coincides with the interval function. We also characterize graphs where $|\mathcal{C}( u,v)\cap \mathcal{C}( v,w) \cap \mathcal{C}( u,w)|\le 1$ as an analogue of median graphs. | ||
| کلیدواژه‌ها | ||
| Interval function؛ Cycle transit function؛ Betweenness؛ graph | ||
| مراجع | ||
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