Injective edge-coloring of subcubic graphs
WebbInjective 4-Edge-Coloring remains NP-complete for cubic graphs. For any k ≥ 45, we show that Injective k-Edge-Coloring remains NP-complete even for graphs of … 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 can be strongly list edge colored with six, seven, eight, and nine colors, respectively. Download Full-text Injective edge-coloring of subcubic graphs
Injective edge-coloring of subcubic graphs
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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 . 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 …
Webb16 apr. 2024 · An injective k-edge-coloring of a graph G is an assignment of colors, i.e. integers in {1, … , k}, to the edges of G such that any two edges each incident with one distinct endpoint of a third edge, receive distinct colors. The problem of determining whether such a k-coloring exists is called k-INJECTIVE EDGE-COLORING.
WebbInjective 4-Edge-Coloring remains NP-complete for cubic graphs. For any k ≥ 45, we show that Injective k-Edge-Coloring remains NP-complete even for graphs of maximum degree at most 5 √ 3k. In contrast with these negative results, we show that Injective k-Edge-Coloring is linear-time solvable on graphs of bounded treewidth. Webb10 maj 2024 · A k-injective edge coloring is a coloring of the edges of G, such that if e1, e2, e3 are consecutive, then e1 and e3 receive distinct colors. The injective edge coloring number is the...
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 …
http://www.hdxb.hqu.edu.cn/oa/darticle.aspx?type=view&id=202403017 flock chickenWebb∙ 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 … flock chicken chips recipeWebbO. V. Borodin, Simultaneous coloring of edges and faces of plane graphs, Discrete Math. 128 (1994), 21–33. O. V. Borodin, Solution of Ringel’s problems of the face and vertex … great lakes rbr \\u0026 sup incWebbWe will proceed in two steps: first, we create a triangle-free subcubic graph G′which has an injective 3-edge-coloring if and only if G is properly 3-edge-colorable. Then we describe how to make the graph cubic. We create … great lakes rapids officeWebb10 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. flock chips nutritionWebb23 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 … flock chicken chips reviewWebbThis notion is related to other types of distance-based colorings, as well as to injective coloring. Indeed, for triangle-free graphs, exact square coloring and injective coloring coincide. We prove tight bounds on special subclasses of planar graphs: subcubic bipartite planar graphs and subcubic K4-minor-free graphs have exact square … great lakes rbr \u0026 sup inc