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Indexed by:期刊论文

Date of Publication:2009-01-01

Journal:ARS COMBINATORIA

Included Journals:SCIE

Volume:90

Page Number:25-32

ISSN No.:0381-7032

Key Words:graceful graph; vertex labeling; edge labeling

Abstract:Let C(n) denote the cycle with n vertices, and C(n)((t)) 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 = 0, 3 (mod 4). The conjecture has been shown true for n = 3, 5, 6, 7, 9, 11, 4k. In this paper, the conjecture is shown to be true for n = 13.