ISSN:
1435-5914
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract Given a graphG, letB be the family of strong orientations ofG, and define A pair {p,q} of integers is called aco-pair if 1 ≤p ≤ q ≤ $$\left( {\mathop {\left\lfloor {\frac{1}{2}} \right\rfloor }\limits^p } \right)$$ . A multiset {p, q, r} of positive integers is called aco-triple if {p, q} and {p, r} are co-pairs. LetK(p1, p2,..., pn) denote the completen-partite graph havingp i vertices in theith partite set. In this paper, we show that if {p 1, p2,...,pn} can be partitioned into co-pairs whenn is even, and into co-pairs and a co-triple whenn is odd, thenε(K(p1, p2,..., pn)) = 2 provided that (n,p 1, p2, p3, p4) ≠ (4, 1, 1, 1, 1). This substantially extends a result of Gutin [3] and a result of Koh and Tan [4].
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01858466
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