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The Even Outdegree Conjecture for Acyclic PLCP-Cubes in Dimension Five
Sonoko MORIYAMA Yoshio OKAMOTO
IEICE TRANSACTIONS on Information and Systems
Publication Date: 2006/08/01
Online ISSN: 1745-1361
Print ISSN: 0916-8532
Type of Manuscript: INVITED PAPER (Special Section on Invited Papers from New Horizons in Computing)
linear complementarity problems, unique sink orientations, Holt-Klee condition,
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The behavior of Bard-type pivoting algorithms for the linear complementarity problem with a P-matrix is represented by an orientation of a hypercube. We call it a PLCP-cube. In 1978, Stickney and Watson conjectured that such an orientation has no facet on which all even outdegree vertices appear. We prove that this conjecture is true for acyclic PLCP-cubes in dimension five.