On Forbidden Subgraphs of (K2, H)-Sim-(Super)Magic Graphs

نویسندگان

چکیده

A graph G admits an H-covering if every edge of belongs to a subgraph isomorphic given H. is said be H-magic there exists bijection f:V(G)∪E(G)→{1,2,…,|V(G)|+|E(G)|} such that wf(H′)=∑v∈V(H′)f(v)+∑e∈E(H′)f(e) constant, for H′ In particular, H-supermagic f(V(G))={1,2,…,|V(G)|}. When H complete K2, H-(super)magic labeling edge-(super)magic labeling. Suppose F-covering and two graphs F We define (F,H)-sim-(super)magic f′ simultaneously F-(super)magic H-(super)magic. this paper, we consider (K2,H)-sim-(super)magic where three classes with varied symmetry: cycle which symmetric (both vertex-transitive edge-transitive), star edge-transitive but not vertex-transitive, path neither nor edge-transitive. discover forbidden subgraphs the existence classify graphs. also derive sufficient conditions utilize characterize some

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ژورنال

عنوان ژورنال: Symmetry

سال: 2021

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym13081346