Contractors for flows

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2011Embargo end date: 01 Nov 2010 Spain English Publisher:Elsevier BVJournal:Electronic Notes in Discrete Mathematics, volume 38, pages 389-394 (issn: 1571-0653,

Copyright policy )

Authors: Delia Garijo; Andrew J. Goodall; Jaroslav Nesetril;

doi: 10.1016/j.endm.2011.09.063 , 10.1090/s0002-9939-2012-11449-2 , 10.48550/arxiv.1011.5958

arXiv: 1011.5958

handle: 11441/94102

Contractors for flows

- Summary
- Subjects
- Metrics

Abstract

We answer a question raised by Lovász and B. Szegedy [Contractors and connectors in graph algebras, J. Graph Theory 60:1 (2009)] asking for a contractor for the graph parameter counting the number of B B -flows of a graph, where B B is a subset of a finite Abelian group closed under inverses. We prove our main result using the duality between flows and tensions and finite Fourier analysis.

Country

Spain

Related Organizations

Keywords

flows, tensions, Flows, contractor, Graph homomorphism, Tensions, Graphs and abstract algebra (groups, rings, fields, etc.), graph homomorphism, Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.), Fourier transform, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Flows in graphs, Contractor

Impact byBIP!

	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).	2
	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.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average