Results 41 to 50 of about 289,295 (264)

Total Rainbow Connection Number of Corona Product of Book Graph(Bn) and Pencil Graf(Pcm)

open access: yesSainsmat, 2023
Let G be a simple and finite graph. Rainbow connection and total rainbow connection c are set c : G → {1,2,. . . , k} where k is the minimal color on graph G. A rainbow connection number(rc) is a pattern by giving different colors to the connection edges
Randi Mooduto   +2 more
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

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

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

On Rainbow Antimagic Coloring of Joint Product of Graphs

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
Let  be a connected graph with vertex set  and edge set . A bijection  from  to the set  is a labeling of graph . The bijection  is called rainbow antimagic vertex labeling if for any two edge  and  in path , where  and .
Brian Juned Septory   +3 more
doaj   +1 more source

On the threshold for rainbow connection number r in random graphs [PDF]

open access: yes, 2013
We call an edge colouring of a graph G a rainbow colouring if every pair of vertices is joined by a rainbow path, i.e., a path where no two edges have the same colour.
Heckel, Annika, Riordan, Oliver
core   +1 more source

Bilangan Terhubung Titik Pelangi pada Graf Hasil Operasi Korona Graf Prisma (P_(m,2)) dan Graf Lintasan (P_3)

open access: yesJambura Journal of Mathematics, 2022
Rainbow vertex-connection number is the minimum k-coloring on the vertex graph G and is denoted by rvc(G). Besides, the rainbow-vertex connection number can be applied to some special graphs, such as prism graph and path graph.
Indrawati Lihawa   +5 more
doaj   +1 more source

ON RAINBOW ANTIMAGIC COLORING OF SNAIL GRAPH(S_n ), COCONUT ROOT GRAPH (Cr_(n,m) ), FAN STALK GRAPH (Kt_n ) AND THE LOTUS GRAPH(Lo_n )

open access: yesBarekeng, 2023
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
doaj   +1 more source

The rainbow 2-connectivity of Cartesian products of 2-connected graphs and paths

open access: yesElectronic Journal of Graph Theory and Applications, 2020
An edge-colored graph G is rainbow k-connected, if there are k-internally disjoint rainbow paths connecting every pair of vertices of G. The rainbow k-connection number of G, denoted by rck(G), is the minimum number of colors needed for which there ...
Bety Hayat Susanti   +2 more
doaj   +1 more source

On the rainbow connection number of triangle-net graph

open access: yes, 2021
Let G be an arbitrary non-trivial connected graph. For every two vertices u and v in G, a (u,v)-path in G is called a rainbow (u,v)-path if all edges are colored differently.
L. Yulianti   +3 more
semanticscholar   +1 more source

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