Results 31 to 40 of about 289,295 (264)

The hitting time of rainbow connection number two [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2012
In a graph $G$ with a given edge colouring, a rainbow path is a path all of whose edges have distinct colours. The minimum number of colours required to colour the edges of $G$ so that every pair of vertices is joined by at least one rainbow path is ...
Heckel, Annika, Riordan, Oliver
core   +4 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

Total Rainbow Connection Number Of Shackle Product Of Antiprism Graph (〖AP〗_3)

open access: yesJurnal Matematika Statistika dan Komputasi, 2023
Function if  is said to be k total rainbows in , for each pair of vertex  there is a path called  with each edge and each vertex on the path will have a different color.
Melisa Huntala   +2 more
semanticscholar   +1 more source

Rainbow Connection Number and the Number of Blocks [PDF]

open access: yesGraphs and Combinatorics, 2013
7 ...
Xueliang Li 0001, Sujuan Liu
openaire   +3 more sources

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

On the locating rainbow connection number of amalgamation of complete graphs

open access: yesJournal of Physics: Conference Series, 2023
Locating rainbow connection number determines the minimum number of colors connecting any two vertices of a graph with a rainbow vertex path and also verifies that the given colors produce a different rainbow code for each vertex.
A. W. Bustan, A. Salman, P. E. Putri
semanticscholar   +1 more source

On the Locating Rainbow Connection Number of Trees and Regular Bipartite Graphs

open access: yesEmerging Science Journal, 2023
Locating the rainbow connection number of graphs is a new mathematical concept that combines the concepts of the rainbow vertex coloring and the partition dimension.
A. W. Bustan   +3 more
semanticscholar   +1 more source

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

open access: yesGraphs and Combinatorics, 2016
Let $G$ be an edge-colored connected graph. A path of $G$ is called rainbow if its every edge is colored by a distinct color. $G$ is called rainbow connected if there exists a rainbow path between every two vertices of $G$. The minimum number of colors that are needed to make $G$ rainbow connected is called the rainbow connection number of $G$, denoted
Jiuying Dong, Xueliang Li 0001
openaire   +3 more sources

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

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