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Injective edge-coloring of subcubic graphs

Webb2 maj 2024 · The input of the Maximum Colored Cut problem consists of a graph G= (V,E) with an edge-coloring c:E→ {1,2,3,... , p} and a positive integer k, and the question is whether G has a nontrivial edge cut using at least k colors. The Colorful Cut problem has the same input but asks for a nontrivial edge cut using all p colors. Webb23 juli 2024 · An injective edge-coloring of a graph is an edge-coloring such that if , , and are three consecutive edges in (they are consecutive if they form a path or a cycle of length three), then and receive different colors. The minimum integer such that, has an injective edge-coloring with colors, is called the injective chromatic index of ( ).

List injective edge-coloring of subcubic graphs - ScienceDirect

Webb23 juli 2024 · We give new upper bounds for this parameter and we present the relationships of the injective edge-coloring with other colorings of graphs. The … WebbA natural way of increasing our understanding of NP-complete graph problems is to restrict the input to a special graph class. Classes of -free graphs, that is, graphs that do not … people that got killed on zoom https://foodmann.com

List injective edge-coloring of subcubic graphs ScienceGate

WebbAn injective edge-coloring c of a graph G is an edge-coloring such that if e1, e2, and e3 are three consecutive edges in G (they are consecutive if they form a path or a cycle of length three), then e1 and e3 receive different colors. The minimum integer k such that, G has an injective edge-coloring with k Webb23 juli 2024 · An injective edge-coloring $c$ of a graph $G$ is an edge coloring such that if $e_1$, $e_2$ and $e_3$ are three consecutive edges in $G$ (they are … Webbcubic graphs, planar subcubic graphs of arbitrarily large girth, and planar bipartite subcubic graphs of girth 6. Injective 4-Edge-Coloring remains NP-complete for cubic … to introduce a person

Complexity and algorithms for injective edge-coloring in graphs ...

Category:Complexity and algorithms for injective edge-coloring in graphs

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Injective edge-coloring of subcubic graphs

Induced star arboricity and injective edge-coloring of graphs

WebbInjective edge-coloring of graphs with given maximum degree Alexandr Kostochka∗ Andr e Raspaud † Jingwei Xu‡ April 26, 2024 Abstract A coloring of edges of a graph Gis injective if for any two distinct edges e 1 and e 2, the colors of e 1 and e 2 are distinct if they are at distance 1 in Gor in a common triangle. Naturally, the Webb1 okt. 2024 · In this paper, we consider the list version of the injective edge-coloring and prove that the list-injective chromatic index of every subcubic graph is at most 7, which generalizes the...

Injective edge-coloring of subcubic graphs

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Webb30 okt. 2024 · Abstract An edge-coloring of a graph G is injective if for any two distinct edges e 1 and e 2, the colors of e 1 and e 2 are distinct if they are at distance 2 in G or … WebbInjective edge-coloring of subcubic graphs Discrete Mathematics Algorithms and Applications . 10.1142/s1793830922500409 . 2024 . Author(s): Baya Ferdjallah . Samia Kerdjoudj . André Raspaud. Keyword(s): Edge Coloring . Upper Bounds . Chromatic Index .

WebbWe study strong list edge coloring of subcubic graphs, and we prove that every subcubic graph with maximum average degree less than 15/7, 27/11, 13/5, and 36/13 … Webb10 dec. 2024 · Une coloration d’arêtes injective est une coloration d’arêtes telle que pour chaque chemin de longueur 3, les deux arêtes aux extrémités du chemin n’ont pas la même couleur. Nous déterminons la complexité de la coloration d’arêtes injective sur plusieurs classes de graphes.

Webb1 jan. 2024 · Article. Star edge coloring of $ K_{2, t} $-free planar graphs. January 2024; AIMS Mathematics 8(6):13154-13161

Webb1 dec. 2024 · The injective chromatic index of G, denoted by χ i ′ (G), is the minimum number of colors needed for an injective edge-coloring of G. Ferdjallah, Kerdjoudj …

WebbThe injective edge coloring number or the injective edge chromatic index of a graph G, χ′ i (G), is the minimum number of colors permitted in an i-edge coloring. In the same … to introduce in chineseWebb29 apr. 2013 · Abstract. We study strong list edge coloring of subcubic graphs, and we prove that every subcubic graph with maximum average degree less than 15/7, 27/11, … people that got canceledWebbstatement is that no matter how we prescribe arbitrary lists of three colors on edges of a subgraph H of G such that A(H)~< 2, and prescribe lists of four colors on E(G)\E(H), the subcubic graph G will have an edge-coloring with the given colors. Several consequences follow from this result. (~) 1998 Elsevier Science B.V. tointsecondWebbWe give new upper bounds for this parameter and we present the relationships of the injective edge-coloring with other colorings of graphs. We study the injective edge … people that go to church are calledWebbInformation Processing Letters170 (2024) 106121 Contents lists available at ScienceDirect Information Processing Letters www.elsevier.com/locate/ipl Complexity … people that guide you on a college tourWebb∙ 23 months ago Complexity and algorithms for injective edge-coloring in graphs An injective k-edge-coloring of a graph G is an assignment of colors, i.... 0 Florent Foucaud, et al. ∙ share research ∙ 2 years ago Between proper and strong edge-colorings of subcubic graphs In a proper edge-coloring the edges of every color form a … people that go to spaceWebbInjective 3-Edge-Coloring is NP-Complete even for: 1.planar subcubic graphs with girth at least g, 2.planar bipartite subcubic graphs of girth 6. The two items in Theorem 2 cannot be combined, because we can prove the following (note that all planar bipartite subcubic graphs are injectively 4-edge-colorable [14]). to introduce the chief of the city