آمار
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Max-min degree index of a graph and it’s mathematical relation with other topological indices | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 خرداد 1404 | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.30390.2450 | ||
| نویسندگان | ||
| Shibsankar Das* ؛ Biswaranjan Khanra | ||
| Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India | ||
| چکیده | ||
| Among the defined $148$ discrete Adriatic indices, the max-min degree index is one. Vuki{'c}evi'c proposed some problems related to the upper and lower bounds on the max-min degree index. Here we determine the max-min degree index of some special graphs. We characterize the graphs extremal with respect to max-min degree index over connected graphs, trees and unicyclic graphs with a given number of vertices. Finally, we establish its mathematical relation with other topological indices. | ||
| کلیدواژهها | ||
| Tree؛ Unicyclic graph؛ Bound | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 4 |
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