Cyclic Uniform 2-Factorizations of the Complete Multipartite Graph.

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Bibliographic Details
Title: Cyclic Uniform 2-Factorizations of the Complete Multipartite Graph.
Authors: Pasotti, Anita1 anita.pasotti@unibs.it, Pellegrini, Marco Antonio2 marcoantonio.pellegrini@unicatt.it
Source: Graphs & Combinatorics. Sep2018, Vol. 34 Issue 5, p901-930. 30p.
Subjects: Factorization, Graphic methods, Multiparticle spectrometers, Geometric vertices, Ringel, G.
Abstract: A generalization of the Oberwolfach problem, proposed by Liu (J Comb Des 8:42-49, 2000), asks for a uniform 2-factorization of the complete multipartite graph Km×n. Here we focus our attention on cyclic 2-factorizations, whose 2-factors are disjoint union of cycles all of even length ℓ. In particular, we present a complete solution for the extremal cases ℓ=4 and ℓ=mn. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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