. "DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE" . "[C87AA371C2A8]" . . . "RIV/49777513:23520/13:43919958" . "RIV/49777513:23520/13:43919958!RIV15-MSM-23520___" . "1462-7264" . "23520" . "P(EE2.3.30.0013)" . . . . "Naserasr, Reza" . "FR - Francouzsk\u00E1 republika" . . "78002" . . "homomorphism, signed graph, projective cube"@en . "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 . "15" . "3" . "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." . . "1"^^ . . . "Sopena, Eric" . "Rollov\u00E1, Edita" . "Homomorphisms of planar signed graphs to signed projective cubes"@en . . "3"^^ . . "Homomorphisms of planar signed graphs to signed projective cubes"@en . "12"^^ . . "Homomorphisms of planar signed graphs to signed projective cubes" . . "000327036900001" . "Homomorphisms of planar signed graphs to signed projective cubes" .