Cycle-based super edge-magic graphs and their super edge-magic sequences Online publication date: Sat, 19-Sep-2015
by G.S.G.N. Anjaneyulu; A. Vijayabarathi
International Journal of Computing Science and Mathematics (IJCSM), Vol. 6, No. 4, 2015
Abstract: In this paper, we have introduced a new concept of super edge-magic sequence (SEMS) of a super edge-magic graph (SEMG) with p vertices and q edges. The super edge-magic sequence of natural numbers is denoted by {xi}, 1 ≤ i ≤ q. This sequence need not to be monotonic. We also extend the notion of cycle iteratively for constructing new SEMS based on the 'sequence for cycle', from which we acquire some families like Petersen graph and its extension, web graph and its extension and others.
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