In this paper, we introduce a special kind of graph homomorphisms namely semi-locally-surjective graph homomorphisms. We show some relations between semi-locally-surjective graph homomorphisms and colorful colorings of graphs. Then, we prove that for each natural number k, the Kneser graph KG(2k + 1, k) is b-continuous. Finally, we present some special conditions for graphs to be b-continuous.
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National Research University, Higher School of Economics, 3 Kochnovsky Proezd, Moscow, RussiaNational Research University, Higher School of Economics, 3 Kochnovsky Proezd, Moscow, Russia
Beaudou, Laurent
Foucaud, Florent
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LIMOS, CNRS UMR 6158, Université Clermont Auvergne, Aubière, France
Univ. Bordeaux, Bordeaux INP, CNRS, LaBRI, UMR5800, Talence,F-33400, France
Univ. Orléans, INSA Centre Val de Loire, LIFO EA 4022, Orléans,F-45067, FranceNational Research University, Higher School of Economics, 3 Kochnovsky Proezd, Moscow, Russia
Foucaud, Florent
Naserasr, Reza
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Université de Paris, CNRS, IRIF, Paris,F-75006, FranceNational Research University, Higher School of Economics, 3 Kochnovsky Proezd, Moscow, Russia
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Royal Inst Technol, Dept Math, Lindstedtsvagen 25, S-10044 Stockholm, SwedenRoyal Inst Technol, Dept Math, Lindstedtsvagen 25, S-10044 Stockholm, Sweden
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Jeonbuk Natl Univ, Dept Math Educ, Jeonju 54896, South Korea
Jeonbuk Natl Univ, Inst Pure & Appl Math, Jeonju 54896, South KoreaJeonbuk Natl Univ, Dept Math Educ, Jeonju 54896, South Korea