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Rainbow vertex-connection number is the minimum colors assignment to the vertices of the graph, such that each vertex is connected by a path whose edges have distinct colors and is denoted by .
Nisky Imansyah Yahya +3 more
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Rainbow Connection Number on Generalized Farey Graph
semanticscholar +2 more sources
Rainbow connection and strong rainbow connection number on the corona product of sandat graphs
Ainin Yusri Saputri +2 more
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(1, 2)-rainbow Connection Number at Most 3 in Connected Dense Graphs
Let G be an edge-colored connected graph G . A path P in the graph G is called l -rainbow path if each subpath of length at most l + 1 is rainbow. The graph G is called ( k, l ) -rainbow connected if any two vertices in G are connected by at least k ...
Trung Duy Doan, Le Thi Duyen
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Rainbow Connection Number of Double Quadrilateral Snake Graph
Let graph G = be a non trivial connected graph. A graph G with edge coloring is called a rainbow connection, if for every pair of vertices on a path has a different color.
Ervie Yuniarti Astika Mustafaputri Yuniarti +2 more
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On Rainbow Vertex Antimagic Coloring of Graphs: A New Notion
All graph in this paper are simple, finite, and connected. Let be a labeling of a graph . The function is called antimagic rainbow edge labeling if for any two vertices and , all internal vertices in path have different weight, where the weight of ...
Marsidi Marsidi +3 more
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Graphs with Strong Proper Connection Numbers and Large Cliques
In this paper, we mainly investigate graphs with a small (strong) proper connection number and a large clique number. First, we discuss the (strong) proper connection number of a graph G of order n and ω(G)=n−i for 1⩽i⩽3. Next, we investigate the rainbow
Yingbin Ma, Xiaoxue Zhang, Yanfeng Xue
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Rainbow Connection Number and the Number of Blocks [PDF]
7 ...
Li, Xueliang, Liu, Sujuan
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Rainbow connection number of comb product of graphs
An edge-colored graph G is called a rainbow connected if any two vertices are connected by a path whose edges have distinct colors. Such a path is called a rainbow path.
Dinny Fitriani, A. Salman, Z. Awanis
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An updated survey on rainbow connections of graphs - a dynamic survey
The concept of rainbow connection was introduced by Chartrand, Johns, McKeon and Zhang in 2008. Nowadays it has become a new and active subject in graph theory. There is a book on this topic by Li and Sun in 2012, and a survey paper by Li, Shi and Sun in
Xueliang Li, Yuefang Sun
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