Local antimagic chromatic number of even-by-odd flower-bouquet graphs
Local antimagic chromatic number of even-by-odd flower-bouquet graphs
Let and be integers, with even and , and odd and . Let denote the corresponding flower-bouquet graph, and let be the local antimagic chromatic number of a graph . The even-by-odd flower-bouquet conjecture.
The paper proves the analogous equality for odd , while the even-, odd- case is posed as an open problem.
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Primary source
Gee-Choon Lau, Wai Chee Shiu, M. Nalliah and K. Premalatha, “Construction of local antimagic 3-colorable graphs of fixed even size – matrix approach”, arXiv:2404.18049 (2024).
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