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The graphs C(11)((t)) are graceful for t equivalent to 0, 1 (mod 4)

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Indexed by: Journal Article

Date of Publication: 2008-07-01

Journal: ARS COMBINATORIA

Included Journals: SCIE

Volume: 88

Page Number: 429-435

ISSN: 0381-7032

Key Words: graceful graph; vertex labeling; edge labeling

Abstract: Let C(n) denote the cycle with n vertices, and. denote the graphs consisting of t copies of C(n) with a vertex in common. Koh et al. conjectured that C(n)((t)) is graceful if and only if nt equivalent to 0,3 (mod 4). The conjecture has been shown true for n = 3, 5, 6, 7, 9, 4k. In this paper, the conjecture is shown to be true for n = 11.

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