COMPLETE CHARACTERIZATION OF BRIDGE GRAPHS WITH LOCAL ANTIMAGIC CHROMATIC NUMBER 2; [Полная характеризация мостовых графов с локальным антимагическим хроматическим числом 2]
An edge labeling of a connected graph G = (V, E) is said to be local antimagic if it is a bijection f: E → {1, . . ., |E|} such that for any pair of adjacent vertices x and y, f +(x) 6= f +(y), where the induced vertex label f +(x) = P f (e), with e ranging over all the edges incident to x. The loca...
| Published in: | Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Udmurt State University
2024
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85207309540&doi=10.35634%2fvm240305&partnerID=40&md5=78eec11cd4534284f918eb769d816b81 |
| Summary: | An edge labeling of a connected graph G = (V, E) is said to be local antimagic if it is a bijection f: E → {1, . . ., |E|} such that for any pair of adjacent vertices x and y, f +(x) 6= f +(y), where the induced vertex label f +(x) = P f (e), with e ranging over all the edges incident to x. The local antimagic chromatic number of G, denoted by χla(G), is the minimum number of distinct induced vertex labels over all local antimagic labelings of G. In this paper, we characterize s-bridge graphs with local antimagic chromatic number 2. © 2024 Udmurt State University. All rights reserved. |
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| ISSN: | 19949197 |
| DOI: | 10.35634/vm240305 |