Results 31 to 40 of about 101,543 (166)

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

Rainbow Connection Number and Independence Number of a Graph [PDF]

open access: yesGraphs and Combinatorics, 2016
14 ...
Dong, Jiuying, Li, Xueliang
openaire   +3 more sources

Total Rainbow Connection Number of Some Graph Operations

open access: yesAxioms, 2022
In a graph H with a total coloring, a path Q is a total rainbow if all elements in V(Q)∪E(Q), except for its end vertices, are assigned different colors. The total coloring of a graph H is a total rainbow connected coloring if, for any x,y∈V(H), there is
Hengzhe Li, Yingbin Ma, Yan Zhao
doaj   +1 more source

Rainbow Connection In Sparse Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2013
An edge-coloured connected graph G = (V,E) is called rainbow-connected if each pair of distinct vertices of G is connected by a path whose edges have distinct colours. The rainbow connection number of G, denoted by rc(G), is the minimum number of colours
Kemnitz Arnfried   +3 more
doaj   +1 more source

Rainbow connection number of Cm o Pn and Cm o Cn

open access: yesIndonesian Journal of Combinatorics, 2020
Let G = (V(G),E(G)) be a nontrivial connected graph. A rainbow path is a path which is each edge colored with different color. A rainbow coloring is a coloring which any two vertices should be joined by at least one rainbow path.
Alfi Maulani   +3 more
doaj   +1 more source

The Rainbow Vertex-Connection Number of Star Fan Graphs

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2018
A vertex-colored graph  is said to be rainbow vertex-connected, if for every two vertices  and  in , there exists a  path with all internal vertices have distinct colors.
Ariestha Widyastuty Bustan   +1 more
doaj   +1 more source

On the study of Rainbow Antimagic Coloring of Special Graphs

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
Let  be a connected graph with vertex set  and edge set . The bijective function  is said to be a labeling of graph where  is the associated weight for edge .
Dafik Dafik   +3 more
doaj   +1 more source

Generalized Rainbow Connection of Graphs and their Complements

open access: yesDiscussiones Mathematicae Graph Theory, 2018
Let G be an edge-colored connected graph. A path P in G is called ℓ-rainbow if each subpath of length at most ℓ + 1 is rainbow. The graph G is called (k, ℓ)-rainbow connected if there is an edge-coloring such that every pair of distinct vertices of G is ...
Li Xueliang   +3 more
doaj   +1 more source

On Proper (Strong) Rainbow Connection of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2021
A path in an edge-colored graph G is called a rainbow path if no two edges on the path have the same color. The graph G is called rainbow connected if between every pair of distinct vertices of G, there is a rainbow path.
Jiang Hui   +3 more
doaj   +1 more source

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