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Computing Minimum Rainbow and Strong Rainbow Colorings of Block Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
A path in an edge-colored graph $G$ is rainbow if no two edges of it are colored the same. The graph $G$ is rainbow-connected if there is a rainbow path between every pair of vertices.
Melissa Keranen, Juho Lauri
doaj   +6 more sources

Color code techniques in rainbow connection [PDF]

open access: yesElectronic Journal of Graph Theory and Applications, 2018
Let G be a graph with an edge k-coloring γ : E(G) → {1, …, k} (not necessarily proper). A path is called a rainbow path if all of its edges have different colors.
Fendy Septyanto, Kiki A. Sugeng
doaj   +2 more sources

Rainbow Connection Numbers of WK-Recursive Networks and WK-Recursive Pyramids

open access: yesMathematics
An edge coloring of a graph G results in G being rainbow connected when every pair of vertices is linked by a rainbow path. Such a path is defined as one where each edge possesses a distinct color.
Fu-Hsing Wang, Cheng-Ju Hsu
doaj   +3 more sources

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

Distance-Local Rainbow Connection Number

open access: yesDiscussiones Mathematicae Graph Theory, 2022
Under an edge coloring (not necessarily proper), a rainbow path is a path whose edge colors are all distinct. The d-local rainbow connection number lrcd(G) (respectively, d-local strong rainbow connection number lsrcd(G)) is the smallest number of colors
Septyanto Fendy, Sugeng Kiki A.
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

Proper Rainbow Connection Number of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2021
A path in an edge-coloured graph is called a rainbow path if its edges receive pairwise distinct colours. An edge-coloured graph is said to be rainbow connected if any two distinct vertices of the graph are connected by a rainbow path.
Doan Trung Duy, Schiermeyer Ingo
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

BATAS ATAS RAINBOW CONNECTION NUMBER PADA GRAF BUCKMINSTERFULLERENE

open access: yesJurnal Matematika UNAND, 2022
Misalkan G adalah suatu graf terhubung tak trivial. Suatu pewarnaan c : E(G) → {1, 2, ..., k}, k ∈ N pada graf G adalah suatu pewarnaan sisi di G sedemikian sehingga setiap sisi bertetangga boleh berwarna sama.
Fitri - Anggalia   +2 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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