Results 71 to 80 of about 1,634 (112)

Oriented Chromatic Number of Cartesian Products and Strong Products of Paths

open access: yesDiscussiones Mathematicae Graph Theory, 2019
An oriented coloring of an oriented graph G is a homomorphism from G to H such that H is without selfloops and arcs in opposite directions. We shall say that H is a coloring graph.
Dybizbański Janusz, Nenca Anna
doaj   +1 more source

The List Edge Coloring and List Total Coloring of Planar Graphs with Maximum Degree at Least 7

open access: yesDiscussiones Mathematicae Graph Theory, 2020
A graph G is edge k-choosable (respectively, total k-choosable) if, whenever we are given a list L(x) of colors with |L(x)| = k for each x ∈ E(G) (x ∈ E(G) ∪ V (G)), we can choose a color from L(x) for each element x such that no two adjacent (or ...
Sun Lin   +3 more
doaj   +1 more source

On Nordhaus-Gaddum type relations of δ-complement graphs. [PDF]

open access: yesHeliyon, 2023
Vichitkunakorn P   +2 more
europepmc   +1 more source

Packing Coloring of Some Undirected and Oriented Coronae Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that its set of vertices V(G) can be partitioned into k disjoint subsets V1, . . . , Vk, in such a way that every two distinct vertices in Vi are at distance greater than i in
Laïche Daouya   +2 more
doaj   +1 more source

Describing Neighborhoods of 5-Vertices in 3-Polytopes with Minimum Degree 5 and Without Vertices of Degrees from 7 to 11

open access: yesDiscussiones Mathematicae Graph Theory, 2018
In 1940, Lebesgue proved that every 3-polytope contains a 5-vertex for which the set of degrees of its neighbors is majorized by one of the following sequences: (6, 6, 7, 7, 7), (6, 6, 6, 7, 9), (6, 6, 6, 6, 11), (5, 6, 7, 7, 8), (5, 6, 6, 7, 12), (5, 6,
Borodin Oleg V.   +2 more
doaj   +1 more source

On the Palette Index of Complete Bipartite Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
The palette of a vertex x of a graph G determined by a proper edge colouring φ of G is the set {φ(xy) : xy ∈ E(G)} and the diversity of φ is the number of different palettes determined by φ. The palette index of G is the minimum of diversities of φ taken
Horňák Mirko, Hudák Juraj
doaj   +1 more source

The complexity of frugal colouring. [PDF]

open access: yesArab J Math, 2021
Bard S, MacGillivray G, Redlin S.
europepmc   +1 more source

Generalized Sum List Colorings of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2019
A (graph) property 𝒫 is a class of simple finite graphs closed under isomorphisms. In this paper we consider generalizations of sum list colorings of graphs with respect to properties 𝒫.
Kemnitz Arnfried   +2 more
doaj   +1 more source

Distance-based topological polynomials and indices of friendship graphs. [PDF]

open access: yesSpringerplus, 2016
Gao W   +3 more
europepmc   +1 more source

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