## Congressus Numerantium, Volume 127 |

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### Contents

Distance in AntiMatroids by John L Pfaltz John Karro and Sean McCulloch | 5 |

Uniform 3Factorizations of K1Q by Peter Adams Darryn E Bryant and A Khodkar | 23 |

Quadrangle Completions and the AntiDesargues Configuration | 57 |

Copyright | |

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adjacency matrix algorithm anti-matroid arcs barycentric coordinates binary tree bit strings Boolean closed sets closure operator codeword columns components Computer configuration CONGRESSUS NUMERANTIUM 127 contains convex geometries convex hull coordinates copies of C3 Corollary corresponding covering of Dv cube defined denote diagonal directed 2-cycles disjoint Dv with copies elements encoding equivalent exists EXP(P finite function G F3 graph G Hence induced subdigraph induced subtree integer isomorphic labeling Latin square lattice system Lemma Let G linear Math matrix matroid minimal multitournament n-sequence node nonarcs normal normal matrix odd primes packing of Dv permutations Petersen graph plane of order posets positive integer projective plane Proof Proposition prove pseudo-cube of order pseudo-products quadrangle result rotations score sequence shown in Figure spare edges strongly-connected subgraph subset subsquares triangulation unique upper bound vector vertex vertex prime vertices with m(k X.ip Zerling zero