Publication:
Star-Supermagic Decompositions of the Complete Bipartite Graph Minus a One-Factor

2
0

Issued Date

2017

Resource Type

Article

File Type

application/pdf

ISSN

1611712

DOI

10.1155/2017/5104701

Other identifier(s)

2-s2.0-85021934082

Rights Holder(s)

Scopus

Bibliographic Citation

International Journal of Mathematics and Mathematical Sciences. Vol 2017, (2017)

Suggested Citation

Wichianpaisarn T., Mato U. Star-Supermagic Decompositions of the Complete Bipartite Graph Minus a One-Factor. International Journal of Mathematics and Mathematical Sciences. Vol 2017, (2017). doi:10.1155/2017/5104701 Retrieved from: https://hdl.handle.net/20.500.14740/4140

Title

Star-Supermagic Decompositions of the Complete Bipartite Graph Minus a One-Factor

Author(s)

Wichianpaisarn T.
 Mato U.

Abstract

Let G be a graph and let H be a subgraph of G. Assume that G has an H-decomposition T={H1,H2,.,Ht} such that Hi≅H for all 1≤i≤t. An H-supermagic decomposition of G is a bijection f:V(G)∪E(G)→1,2,.,VG+EG such that ∑vϵV(Hi)f(v)+∑eϵE(Hi)f(e) is a constant k for each Hi in the decomposition T and fVG=1,2,.,VG. If G admits an H-supermagic decomposition, then G is called H-supermagic decomposable. In this paper, we give necessary and sufficient conditions for the existence of K1,n-1-supermagic decomposition of the complete bipartite graph Kn,n minus a one-factor. © 2017 Tanawat Wichianpaisarn and Uthoomporn Mato.

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URI

https://hdl.handle.net/20.500.14740/4140

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Scopus: Year 1983-2021

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