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An Algebraic Characterization of Rainbow Connectivity

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Conference object 01 Jan 2012Embargo end date: 01 Jan 2011 India English Publisher:Springer Berlin Heidelberg
Authors: Ananth, Prabhanjan; Dukkipati, Ambedkar;

doi: 10.1007/978-3-642-32973-9_2 , 10.48550/arxiv.1109.2291

arXiv: 1109.2291

An Algebraic Characterization of Rainbow Connectivity

Abstract

The use of algebraic techniques to solve combinatorial problems is studied in this paper. We formulate the rainbow connectivity problem as a system of polynomial equations. We first consider the case of two colors for which the problem is known to be hard and we then extend the approach to the general case. We also give a formulation of the rainbow connectivity problem as an ideal membership problem.

Country
India
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Keywords

FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Computer Science & Automation (Formerly, School of Automation), Computer Science - Discrete Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green