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20 Of 460 000 RA GHAELI Received October 21 2011 Abstract In this paper we correct a minor misstatement in 4 where J A De Loera demonst rates an explicit universal Gr obner basis of the radical id

Graph Coloring via Ideal Membership djacent vertices get the same color Essentially we reduce decidability of k colorability to an ideal membership problem which we know how to solve from Our paper describes how the inherent combinatorial structure of the ideals implies several interesting algebraic properties Specifically we provide lower bounds on the difficulty

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The theory of Gr obner bases is a key computational tool for studying polynomial We review two different approaches used to solve this problem and demonstrate the techniques with examples We also give an algebraic characterization of the Grobner basis

A Grobner basis for an ideal even if we are allowed to ig nore a large subset of the generators for our ideal Thus the coloring ideal provides a sense of robust hardness for the computation of Gr bner Bases Ideal Membership and Graph Colouring Total Page 16 File Type pdf Size 1020Kb

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Lower bounds on the difficulty of computing Gr bner bases and Nullstellensatz certificates for the coloring ideals of general graphs are provided and a robust notion of hardness derived from The presentation comprises an incremental space efficient algorithm for the computation of Grobner bases an algorithm in polylogarithmic space for the membership problem in toric

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A NOTE ON GROBNER BASES AND GRAPH COLORINGS

http://mat76.mat.uni-miskolc.hu › ~mnotes › downloader.php
RA GHAELI Received October 21 2011 Abstract In this paper we correct a minor misstatement in 4 where J A De Loera demonst rates an explicit universal Gr obner basis of the radical id

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A VARIETY OF GRAPH COLORING PROBLEMS Cornell University

https://pi.math.cornell.edu › ... › graphcoloring.pdf
Graph Coloring via Ideal Membership djacent vertices get the same color Essentially we reduce decidability of k colorability to an ideal membership problem which we know how to solve from


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20 Of 460 000 - A Grobner basis for an ideal even if we are allowed to ig nore a large subset of the generators for our ideal Thus the coloring ideal provides a sense of robust hardness for the computation of