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Maximizing the indices of a class of signed complete graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 14، دوره 9، شماره 1، خرداد 2024، صفحه 169-175 اصل مقاله (358.31 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2022.28103.1442 | ||
| نویسندگان | ||
| Navid Kafai؛ Farideh Heydari* | ||
| Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
| چکیده | ||
| The index of a signed graph is the largest eigenvalue of its adjacency matrix. Let $\mathfrak{U}_{n,k,4}$ be the set of all signed complete graphs of order $n$ whose negative edges induce a unicyclic graph of order $k$ and girth at least $4$. In this paper, we identify the signed graphs achieving the maximum index in the class $\mathfrak{U}_{n,k,4}$. | ||
| کلیدواژه‌ها | ||
| Index؛ Signed complete graph؛ Unicyclic | ||
| مراجع | ||
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