Results 51 to 60 of about 14,669 (262)
Discrete Mathematics, 1996 The authors investigate the largest fraction of edges in a 3-regular graph that can be colored in 3 colors. They show that this fraction is always at least 13/15 and sometimes at most 25/27. They investigate the analogous problem for graphs of maximum degree 3 and also for 4-regular graphs with 4 colors instead of 3.
Albertson, Michael O., Haas, Ruth
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Decompositions of Plane Graphs Under Parity Constrains Given by Faces
Discussiones Mathematicae Graph Theory, 2013 An edge coloring of a plane graph G is facially proper if no two faceadjacent edges of G receive the same color. A facial (facially proper) parity edge coloring of a plane graph G is an (facially proper) edge coloring with the property that, for each ...
Czap Július, Tuza Zsolt
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Smarandachely Adjacent Vertex Distinguishing Edge Coloring Algorithm of Graphs [PDF]
Jisuanji gongcheng, 2017 To solve the problem of Smarandachely Adjacent Vertex Distinguishing Edge Coloring(SAVDEC) of graphs,this paper presents a coloring algorithm based on multi-objective optimization.For each sub problem,the sub objective function vector and decision space ...
CAO Daotong,LI Jingwen,WEN Fei
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
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On Mf-Edge Colorings of Graphs
Discussiones Mathematicae Graph Theory, 2022 An edge coloring φ of a graph G is called an Mf-edge coloring if | φ(v)| ≤ f(v) for every vertex v of G, where φ(v) is the set of colors of edges incident with v and f is a function which assigns a positive integer f(v) to each vertex v.
Ivančo Jaroslav, Onderko Alfréd
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On Rainbow Antimagic Coloring of Joint Product of Graphs
Cauchy: 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
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Distributed Deterministic Edge Coloring using Bounded Neighborhood Independence [PDF]
, 2010 We study the {edge-coloring} problem in the message-passing model of distributed computing. This is one of the most fundamental and well-studied problems in this area.
Barenboim, Leonid, Elkin, Michael
core
Molecular bases of circadian magnesium rhythms across eukaryotes
FEBS Letters, EarlyView.Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley +1 more source
Peptide‐based ligand antagonists block a Vibrio cholerae adhesin
FEBS Letters, EarlyView.The structure of a peptide‐binding domain of the Vibrio cholerae adhesin FrhA was solved by X‐ray crystallography, revealing how the inhibitory peptide AGYTD binds tightly at its Ca2+‐coordinated pocket. Structure‐guided design incorporating D‐amino acids enhanced binding affinity, providing a foundation for developing anti‐adhesion therapeutics ...
Mingyu Wang +9 more
wiley +1 more source
On b-vertex and b-edge critical graphs [PDF]
Opuscula Mathematica, 2015 A \(b\)-coloring is a coloring of the vertices of a graph such that each color class contains a vertex that has a neighbor in all other color classes, and the \(b\)-chromatic number \(b(G)\) of a graph \(G\) is the largest integer \(k\) such that \(G ...
Noureddine Ikhlef Eschouf +1 more
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