On H-antimagic coverings for m-shadow and closed m-shadow of connected graphs

An (a,d)-H-antimagic total labeling of a simple graph G admitting an H-covering is a bijection φ:V(G)∪E(G)→{1,2,…,|V(G)|+|E(G)|} such that for all subgraphs H′ of G isomorphic to H, the set of H′-weights given by wtφ(H′)=∑v∈V(H′)φ(v)+∑e∈E(H′)φ(e) forms an arithmetic sequence a,a+d,…,a+(t−1)d where a...

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Bibliographic Details
Main Authors: Nur Inayah, Faisal Susanto, Andrea Semaničová-Feňovčíková
Format: Article
Language:English
Published: Elsevier 2021-10-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844021023069