Results 41 to 50 of about 1,445 (260)

Rainbow vertex connection number and strong rainbow vertex connection number on slinky graph (SlnC4))

open access: yesDesimal, 2021
A graph is said rainbow connected if no path has more than one vertices of the same color inside. The minimum number of colors required to make a graph to be rainbow vertex-connected is called rainbow vertex connection-number and denoted by rvc(G ...
Afifah Farhanah Akadji   +3 more
doaj   +1 more source

Vertex rainbow colorings of graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2012
In a properly vertex-colored graph G, a path P is a rainbow path if no two vertices of P have the same color, except possibly the two end-vertices of P. If every two vertices of G are connected by a rainbow path, then G is vertex rainbow-connected. A proper vertex coloring of a connected graph G that results in a vertex rainbow-connected graph is a ...
Futaba Fujie-Okamoto   +3 more
openaire   +1 more source

Avidin is evolutionarily conserved in fish but dispensable for development and resistance against Streptococcus agalactiae in zebrafish

open access: yesFEBS Open Bio, EarlyView.
The presence of biotin‐binding avidin proteins in fish and their biological significance are poorly characterized. We cataloged fish avidins and demonstrate that they are widely present and evolutionarily conserved. We created avd knockout zebrafish and show that zebavidin is dispensable for development and that resistance of avd knockout embryos in ...
Anni K. Saralahti   +5 more
wiley   +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

Local rainbow colorings [PDF]

open access: yesJournal of Combinatorics, 2011
Given a graph H, we denote by C(n,H) the minimum number k such that the following holds. There are n colorings of E(Kn) with k-colors, each associated with one of the vertices of Kn, such that for every copy T of H in Kn, at least one of the colorings that are associated with V (T ) assigns distinct colors to all the edges of E(T ). We characterize the
Alon, Noga, Ben-Eliezer, Ido
openaire   +1 more source

Spatial Engineering of Gas Diffusion Layers Overcomes Mass Transport Limitations in Fuel Cells

open access: yesAdvanced Science, EarlyView.
ABSTRACT Mass transport limitations at high current densities hinder polymer electrolyte fuel cell (PEFC) performance due to inefficient water management and reactant distribution. Gas diffusion layer (GDL) perforation offers a potential solution as an alternative to complex flow‐field modifications.
Shangwei Zhou   +12 more
wiley   +1 more source

Dual Connectivity in Graphs

open access: yesMathematics
An edge-coloring σ of a connected graph G is called rainbow if there exists a rainbow path connecting any pair of vertices. In contrast, σ is monochromatic if there is a monochromatic path between any two vertices.
Mohammed A. Mutar   +2 more
doaj   +1 more source

Longitudinal Modulation of the Gut Microbiome and Growth Performance by Phytochemicals as Antibiotic Alternatives in Swine Production

open access: yesAnimal Research and One Health, EarlyView.
We conducted a longitudinal trial across nursery, growing, and finishing phases, showing that phytochemical supplementation as a potential antibiotic alternative reduced potential pathogens and promoted beneficial Lactobacillus amylovorus in the nursery phase, and enriched amino acid and carbohydrate metabolism pathways (prediction) during finishing ...
Ziyu Liu   +11 more
wiley   +1 more source

Rainbow Perfect and Near-Perfect Matchings in Complete Graphs with Edges Colored by Circular Distance

open access: yesTheory and Applications of Graphs, 2022
Given an edge-colored complete graph Kn on n vertices, a perfect (respectively, near-perfect) matching M in Kn with an even (respectively, odd) number of vertices is rainbow if all edges have distinct colors.
Shuhei Saitoh, Naoki Matsumoto, Wei Wu
doaj   +1 more source

Hardness of Rainbow Coloring Hypergraphs.

open access: yesElectron. Colloquium Comput. Complex., 2017
A hypergraph is k-rainbow colorable if there exists a vertex coloring using k colors such that each hyperedge has all the k colors. Unlike usual hypergraph coloring, rainbow coloring becomes harder as the number of colors increases. This work studies the rainbow colorability of hypergraphs which are guaranteed to be nearly balanced rainbow colorable ...
Guruswami, Venkatesan, Saket, Rishi
openaire   +4 more sources

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