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We study the graph coloring problem over random graphs of finite average connectivity $c$. Given a number $q$ of available colors, we find that graphs with low connectivity admit almost always a proper coloring whereas graphs with high connectivity are uncolorable.
Roberto Mulet +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raphael Yuster
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Oriented Coloring on Recursively Defined Digraphs
Coloring is one of the most famous problems in graph theory. The coloring problem on undirected graphs has been well studied, whereas there are very few results for coloring problems on directed graphs. An oriented k-coloring of an oriented graph G =
Frank Gurski +2 more
doaj +3 more sources
Let \(P\) be a property of a set of vertices of a graph (e.g., being a maximal independent set in the graph). An iterated \(P\)-coloring of a graph is one that can be obtained through the following greedy algorithm (called iterated coloring algorithm by the authors): Repeatedly choose a set of vertices with property \(P\), color it with an unused color
Sandra M. Hedetniemi +4 more
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The Coloring Ideal and Coloring Complex of a Graph [PDF]
13 pages, 3 ...
Einar Steingrı́msson
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on Graceful Chromatic Number of Vertex amalgamation of Tree Graph Family
Proper vertex coloring c of a graph G is a graceful coloring if c is a graceful k-coloring for k∈{1,2,3,…}. Definition graceful k-coloring of a graph G=(V,E) is a proper vertex coloring c:V(G)→{1,2,…,k);k≥2, which induces a proper edge coloring c':E(G ...
Arika Indah Kristiana +3 more
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Rainbow antimagic coloring is a combination of antimagic labeling and rainbow coloring. Antimagic labeling is labeling of each vertex of the graph with a different label, so that each the sum of the vertices in the graph has a different weight. Rainbow
R Adawiyah +4 more
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Edge Coloring Of Complement Bipolar Fuzzy Graphs
: Graph coloring is one of the most important problems of combinatorial optimization. Many problems of practical interest can be modeled as coloring problems.
S. Yahya Mohamed, Subashini N
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Coloring Drawings of Graphs [PDF]
We consider cell colorings of drawings of graphs in the plane. Given a multi-graph $G$ together with a drawing $\Gamma(G)$ in the plane with only finitely many crossings, we define a cell $k$-coloring of $\Gamma(G)$ to be a coloring of the maximal connected regions of the drawing, the cells, with $k$ colors such that adjacent cells have different ...
Hertrich, Christoph +2 more
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Generalisasi Bilangan Kromatik Pada Beberapa Kelas Graf Korona
For example is a chromatic number with the smallest integer so that the graph has a true vertex coloring with k color. Chromatic number is still an interesting study which is still being studied for its development through graph coloring.
Riduan Yusuf +3 more
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