Results 61 to 70 of about 92,928 (333)
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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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
FEBS Letters, EarlyView.In this study, we present the structure of AcrIE8.1, a previously uncharacterized anti‐CRISPR protein that inhibits the type I‐E CRISPR‐Cas system. Through a combination of structural and biochemical analyses, we demonstrate that AcrIE8.1 directly binds to the Cas11 subunit of the Cascade complex to inhibit the CRISPR‐Cas system.
Young Woo Kang, Hyun Ho Park
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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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Star edge coloring of $ K_{2, t} $-free planar graphs
AIMS Mathematics, 2023 The star chromatic index of a graph $ G $, denoted by $ \chi{'}_{st}(G) $, is the smallest number of colors required to properly color $ E(G) $ such that every connected bicolored subgraph is a path with no more than three edges.
Yunfeng Tang , Huixin Yin , Miaomiao Han
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Electronic Notes in Discrete Mathematics, 2008 Abstract A split graph is a graph whose vertex set admits a partition into a stable set and a clique. The chromatic indexes for some subsets of split graphs, such as split graphs with odd maximum degree and split-indifference graphs, are known. However, for the general class, the problem remains unsolved.
S. M. ALMEIDA +2 more
openaire +3 more sources
FEBS Letters, EarlyView.Anaplastic thyroid cancer (ATC) lacks iodide uptake ability due to MAPK activation increasing the expression of the histone methyltransferase EZH2, which represses thyroid differentiation genes (TDGs) such as the sodium iodide symporter (NIS). Dual inhibition of MAPK (U0126) and EZH2 (EPZ6438/Tazemetostat) reverses this mechanism, thus restoring TDG ...
Diego Claro de Mello +6 more
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Acyclic edge coloring of planar graphs
AIMS Mathematics, 2022 An acyclic edge coloring of a graph $ G $ is a proper edge coloring such that no bichromatic cycles are produced. The acyclic chromatic index of $ G $, denoted by $ \chi^{'}_{a}(G) $, is the smallest integer $ k $ such that $ G $ is acyclically edge $ k $
Yuehua Bu +3 more
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Vertex-Coloring Edge-Weighting of Bipartite Graphs with Two Edge Weights [PDF]
, 2013 Let $G$ be a graph and $\mathcal {S}$ be a subset of $Z$. A vertex-coloring $\mathcal {S}$-edge-weighting of $G$ is an assignment of weight $s$ by the elements of $\mathcal {S}$ to each edge of $G$ so that adjacent vertices have different sums of ...
Lu, Hongliang
core
Total coloring of 1-toroidal graphs of maximum degree at least 11 and no adjacent triangles
, 2018 A {\em total coloring} of a graph $G$ is an assignment of colors to the vertices and the edges of $G$ such that every pair of adjacent/incident elements receive distinct colors.
AV Kostochka +16 more
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