[HTML][HTML] Concepts of signed graph coloring

E Steffen, A Vogel - European Journal of Combinatorics, 2021 - Elsevier
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Homomorphisms of signed graphs: An update

R Naserasr, É Sopena, T Zaslavsky - European Journal of Combinatorics, 2021 - Elsevier
A signed graph is a graph together with an assignment of signs to the edges. A closed walk
in a signed graph is said to be positive (negative) if it has an even (odd) number of negative …

Circular chromatic number of signed graphs

R Naserasr, Z Wang, X Zhu - arXiv preprint arXiv:2010.07525, 2020 - arxiv.org
A signed graph is a pair $(G,\sigma) $, where $ G $ is a graph and $\sigma: E (G)\to\{+,-\} $
is a signature which assigns to each edge of $ G $ a sign. Various notions of coloring of …

[HTML][HTML] The complexity of signed graph and edge-coloured graph homomorphisms

RC Brewster, F Foucaud, P Hell, R Naserasr - Discrete Mathematics, 2017 - Elsevier
We study homomorphism problems of signed graphs from a computational point of view. A
signed graph (G, Σ) is a graph G where each edge is given a sign, positive or negative; Σ⊆ …

On edge colorings of 1-planar graphs

X Zhang, JL Wu - Information Processing Letters, 2011 - Elsevier
On edge colorings of 1-planar graphs Page 1 Information Processing Letters 111 (2011) 124–128
Contents lists available at ScienceDirect Information Processing Letters www.elsevier.com/locate/ipl …

Circular coloring of signed graphs

Y Kang, E Steffen - Journal of Graph Theory, 2018 - Wiley Online Library
Let (be two positive integers. We generalize the well‐studied notions of‐colorings and of the
circular chromatic number to signed graphs. This implies a new notion of colorings of signed …

Homomorphisms of planar signed graphs to signed projective cubes

R Naserasr, E Rollová… - Discrete Mathematics & …, 2013 - dmtcs.episciences.org
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 …

[HTML][HTML] A complexity dichotomy for signed H-colouring

RC Brewster, M Siggers - Discrete Mathematics, 2018 - Elsevier
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Homomorphisms of 2‐Edge‐Colored Triangle‐Free Planar Graphs

P Ochem, A Pinlou, S Sen - Journal of Graph Theory, 2017 - Wiley Online Library
In this article, we introduce and study the properties of some target graphs for 2‐edge‐
colored homomorphism. Using these properties, we obtain in particular that the 2‐edge …

Density of C− 4-critical signed graphs

R Naserasr, LA Pham, Z Wang - Journal of Combinatorial Theory, Series B, 2022 - Elsevier
A signed bipartite (simple) graph (G, σ) is said to be C− 4-critical if it admits no
homomorphism to C− 4 (a negative 4-cycle) but each of its proper subgraphs does. To …