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  • We conjecture that every signed graph of unbalanced girth 2g, whose underlying graph is bipartite and planar, admits a homomorphism to the signed projective cube of dimension 2g-1. Our main result is to show that for a given g, this conjecture is equivalent to the corresponding case (k = 2g) of a conjecture of Seymour claiming that every planar k-regular multigraph with no odd edge-cut of less than k edges is k-edge-colorable.
  • We conjecture that every signed graph of unbalanced girth 2g, whose underlying graph is bipartite and planar, admits a homomorphism to the signed projective cube of dimension 2g-1. Our main result is to show that for a given g, this conjecture is equivalent to the corresponding case (k = 2g) of a conjecture of Seymour claiming that every planar k-regular multigraph with no odd edge-cut of less than k edges is k-edge-colorable. (en)
Title
  • Homomorphisms of planar signed graphs to signed projective cubes
  • Homomorphisms of planar signed graphs to signed projective cubes (en)
skos:prefLabel
  • Homomorphisms of planar signed graphs to signed projective cubes
  • Homomorphisms of planar signed graphs to signed projective cubes (en)
skos:notation
  • RIV/49777513:23520/13:43919958!RIV15-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(EE2.3.30.0013)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 78002
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/13:43919958
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • homomorphism, signed graph, projective cube (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • FR - Francouzská republika
http://linked.open...ontrolniKodProRIV
  • [C87AA371C2A8]
http://linked.open...i/riv/nazevZdroje
  • DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 15
http://linked.open...iv/tvurceVysledku
  • Naserasr, Reza
  • Rollová, Edita
  • Sopena, Eric
http://linked.open...ain/vavai/riv/wos
  • 000327036900001
issn
  • 1462-7264
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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