Zk-magic labelings of fans and wheels with magic-value zero

Wai Chee Shiu; Richard M. Low

Z^k-magic labelings of fans and wheels with magic-value zero

Wai Chee Shiu
, Richard M. Low

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

15 Citations (Scopus)

Abstract

Let A be a non-trivial abelian group and A*= A - {0}. A graph is A -magic if there exists an edge labeling using elements of A which induces a constant vertex labeling of the graph. For fan graphs F_n and wheel graphs W_n, we determine the sets of numbers κ ∈ ℕ, where Fn and Wn have Z_k-magic labelings with magic-value 0.

Original language	English
Pages (from-to)	309-316
Number of pages	8
Journal	Australasian Journal of Combinatorics
Volume	45
Publication status	Published - Oct 2009

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http://ajc.maths.uq.edu.au/pdf/45/ajc_v45_p309.pdf

Cite this

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title = "Zk-magic labelings of fans and wheels with magic-value zero",

abstract = "Let A be a non-trivial abelian group and A*= A - \{0\}. A graph is A -magic if there exists an edge labeling using elements of A which induces a constant vertex labeling of the graph. For fan graphs Fn and wheel graphs Wn, we determine the sets of numbers κ ∈ ℕ, where Fn and Wn have Zk-magic labelings with magic-value 0.",

author = "Shiu, \{Wai Chee\} and Low, \{Richard M.\}",

year = "2009",

month = oct,

language = "English",

volume = "45",

pages = "309--316",

journal = "Australasian Journal of Combinatorics",

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publisher = "University of Queensland Press",

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T1 - Zk-magic labelings of fans and wheels with magic-value zero

AU - Shiu, Wai Chee

AU - Low, Richard M.

PY - 2009/10

Y1 - 2009/10

N2 - Let A be a non-trivial abelian group and A*= A - {0}. A graph is A -magic if there exists an edge labeling using elements of A which induces a constant vertex labeling of the graph. For fan graphs Fn and wheel graphs Wn, we determine the sets of numbers κ ∈ ℕ, where Fn and Wn have Zk-magic labelings with magic-value 0.

AB - Let A be a non-trivial abelian group and A*= A - {0}. A graph is A -magic if there exists an edge labeling using elements of A which induces a constant vertex labeling of the graph. For fan graphs Fn and wheel graphs Wn, we determine the sets of numbers κ ∈ ℕ, where Fn and Wn have Zk-magic labelings with magic-value 0.

UR - http://ajc.maths.uq.edu.au/?page=get_volumes&volume=45

UR - https://www.scopus.com/pages/publications/70349462656

M3 - Journal article

AN - SCOPUS:70349462656

SN - 1034-4942

VL - 45

SP - 309

EP - 316

JO - Australasian Journal of Combinatorics

JF - Australasian Journal of Combinatorics

ER -

Z^k-magic labelings of fans and wheels with magic-value zero

Abstract

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