Results 51 to 60 of about 274,074 (298)

RAINBOW VERTEX-CONNECTION NUMBER ON COMB PRODUCT OPERATION OF CYCLE GRAPH (C_4) AND COMPLETE BIPARTITE GRAPH (K_(3,N))

open access: yesBarekeng, 2023
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
doaj   +1 more source

(1, 2)-rainbow Connection Number at Most 3 in Connected Dense Graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2023
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
semanticscholar   +1 more source

Rainbow Connection Number of Double Quadrilateral Snake Graph

open access: yesJurnal Matematika Statistika dan Komputasi, 2023
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
semanticscholar   +1 more source

On Rainbow Vertex Antimagic Coloring of Graphs: A New Notion

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2021
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
doaj   +1 more source

Graphs with Strong Proper Connection Numbers and Large Cliques

open access: yesAxioms, 2023
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
doaj   +1 more source

Rainbow Connection Number and the Number of Blocks [PDF]

open access: yesGraphs and Combinatorics, 2013
7 ...
Li, Xueliang, Liu, Sujuan
openaire   +3 more sources

Rainbow connection number of comb product of graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2022
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
semanticscholar   +1 more source

An updated survey on rainbow connections of graphs - a dynamic survey

open access: yesTheory and Applications of Graphs, 2017
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
doaj   +1 more source

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