Pattern Recognition on Oriented Matroids: Symmetric Cycles in the Hypercube Graphs

We present explicit descriptions of the decompositions of vertices of a hypercube graph with respect to its distinguished symmetric cycle.

Mathematics Computer Science

Paper

References (24)

01Oriented MatroidsJürgen Richter-Gebert, Günter M. Ziegler2017 · Handbook of Discrete and Computational Geometry, 2nd Ed. · 608 citations

02The local $h$-polynomial of the edgewise subdivision of the simplexChristos A. Athanasiadis2016 · 10 citations

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08Pattern Recognition on Oriented Matroids: Critical Committees and Distance SignalsA. Matveev2013 · 1 citation In Library

09Graphs and CubesS. Ovchinnikov2011 · 36 citations

10Pattern Recognition on Oriented Matroids: Topes and Critical CommitteesA. Matveev2010 · 2 citations In Library

11Geometry of cuts and metricsM. Deza, M. Laurent2009 · Algorithms and Combinatorics · 1.1k citations

12Longest run of equal parts in a random integer compositionA. Gafni2009 · Discrete Mathematics · 10 citations

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