Can I read Symmetric Cycles on EtoBox?

Symmetric Cycles by Andrey O. Matveev is a nonfiction available to read on EtoBox.

What is Symmetric Cycles about?

This original research monograph concerns various aspects of how (based on the decompositions of vertices of hypercube graphs with respect to their symmetric cycles) the vertex sets of related discrete hypercubes, as well as the power sets of the corresponding ground sets, emerge from rank 2 oriented matroids, from underlying rank 2 systems of linear inequalities, and thus literally from arrangements of straight lines crossing a common point on a piece of paper. It reveals some beautiful and earlier-hidden fragments in the true foundations of discrete mathematics. The central observation made and discussed in the book from various viewpoints consists in that 2t subsets of a finite t-element set Et, which form in a natural way a cyclic structure (well, just t subsets that are the vertices of a path in the cycle suffice), allow us to construct any of 2t subsets of the set Et by means of a more than elementary voting procedure expressed in basic linear algebraic terms. The monograph will be of interest to researchers, students, and readers in the fields of discrete mathematics, theoretical computer science, Boolean function theory, enumerative combinatorics and combinatorics on words,

Who reads Symmetric Cycles?

Author

Andrey O. Matveev

Publisher

Jenny Stanford Publishing Pte Ltd

Published

2023

Language

EN

ISBN

9781000959352

Category

nonfiction

Subjects

Science, Mathematics, Computer Science