Results 51 to 60 of about 978,529 (303)
Some Equal Degree Graph Edge Chromatic Number
MATEC Web of Conferences, 2016 Let G(V, E) be a simple graph and k is a positive integer, if it exists a mapping of f, and satisfied with f(e1)≠6 = f(e2) for two incident edges e1,e2∉E(G), f(e1)≠6=f(e2), then f is called the k-proper-edge coloring of G(k-PEC for short).
Liu Jun +4 more
doaj +1 more source
On star and biclique edge‐colorings [PDF]
International Transactions in Operational Research, 2016 AbstractA biclique of G is a maximal set of vertices that induces a complete bipartite subgraph of G with at least one edge, and a star of a graph G is a maximal set of vertices that induces a complete bipartite graph . A biclique (resp. star) edge‐coloring is a coloring of the edges of a graph with no monochromatic bicliques (resp. stars).
Simone Dantas +5 more
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Acyclicity in edge-colored graphs
Discrete Mathematics, 2017 A walk $W$ in edge-colored graphs is called properly colored (PC) if every pair of consecutive edges in $W$ is of different color. We introduce and study five types of PC acyclicity in edge-colored graphs such that graphs of PC acyclicity of type $i$ is a proper superset of graphs of acyclicity of type $i+1$, $i=1,2,3,4.$ The first three types are ...
Gregory Z. Gutin +4 more
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Distance-edge-coloring of power graphs
, 2010 International audienceThe \ell-distance-edge-coloring is a generalization of the edge-coloring that tries to assign a color from 1 to k to each edge such that any two edges of distance at most \ell have distinct colors.
Kheddouci, Hamamache +3 more
core +3 more sources
Improved Edge-Coloring with Three Colors
Theoretical Computer Science, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Edge Cover Through Edge Coloring
The Electronic Journal of CombinatoricsLet $G$ be a multigraph. A subset $F$ of $E(G)$ is an edge cover of $G$ if every vertex of $G$ is incident to an edge of $F$. The cover index, $\xi(G)$, is the largest number of edge covers into which the edges of $G$ can be partitioned. Clearly $\xi(G) \le \delta(G)$, the minimum degree of $G$.
Guantao Chen, Songling Shan
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Researches on the coloring of multigraphs [PDF]
Given a loopless multigraph $G$ and a vertex-function $f\ : \ V(G) \rightarrow \mathbb{N}\backslash \{0\}$, an {\bf $f$-(edge)-coloring} of $G$ is an assignment of colors to the edges of $G$ such that each color appears at each vertex $v\in V(G)$ at most
Hao, Yanli
core +1 more source
Degenerate matchings and edge colorings [PDF]
Discrete Applied Mathematics, 2018 A matching $M$ in a graph $G$ is $r$-degenerate if the subgraph of $G$ induced by the set of vertices incident with an edge in $M$ is $r$-degenerate. Goddard, Hedetniemi, Hedetniemi, and Laskar (Generalized subgraph-restricted matchings in graphs, Discrete Mathematics 293 (2005) 129-138) introduced the notion of acyclic matchings, which coincide with ...
Baste, Julien, Rautenbach, Dieter
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Referral Patterns and Diagnostic Timeliness in Pediatric Cancer: A Hospital‐Based Study in Indonesia
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Timely diagnosis and treatment are critical for improving survival among children with cancer. In low‐ and middle‐income countries (LMICs), delays are common and may be influenced by fragmented referral pathways and diagnostic limitations.
Nur Melani Sari +5 more
wiley +1 more source
Edge-Coloring Bipartite Graphs [PDF]
Journal of Algorithms, 2000 This note provides an algorithm for finding \(\Delta\)(colors)-edge-coloring of a bipartite graph of order \(n\) and size \(m\) in time \(T+O(m\log \Delta)\) where \(T\) is the time needed to find a perfect matching in a \(k\)-regular bipartite graph, \(k\leq \Delta\), and \(\Delta\) is the maximum degree of vertices.
Ajai Kapoor, Romeo Rizzi
openaire +4 more sources