Results 51 to 60 of about 2,481 (263)
The Electronic Journal of CombinatoricsA hole in a graph is an induced subgraph which is a cycle of length at least four. A graph is chordal if it contains no holes. Following McKee and Scheinerman (1993), we define the chordality of a graph $G$ to be the minimum number of chordal graphs on $V(G)$ such that the intersection of their edge sets is equal to $E(G)$.
Aristotelis Chaniotis +2 more
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Reconfiguration graphs for vertex colourings of chordal and chordal bipartite graphs [PDF]
Journal of Combinatorial Optimization, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marthe Bonamy +4 more
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Decycling a graph by the removal of a matching: new algorithmic and structural aspects in some classes of graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 A graph $G$ is {\em matching-decyclable} if it has a matching $M$ such that $G-M$ is acyclic. Deciding whether $G$ is matching-decyclable is an NP-complete problem even if $G$ is 2-connected, planar, and subcubic.
Fábio Protti, Uéverton S. Souza
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Computing Minimum Rainbow and Strong Rainbow Colorings of Block Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 A path in an edge-colored graph $G$ is rainbow if no two edges of it are colored the same. The graph $G$ is rainbow-connected if there is a rainbow path between every pair of vertices.
Melissa Keranen, Juho Lauri
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Transitivity on Subclasses of Chordal Graphs
, 2023 Let $G=(V, E)$ be a graph, where $V$ and $E$ are the vertex and edge sets, respectively. For two disjoint subsets $A$ and $B$ of $V$, we say $A$ \textit{dominates} $B$ if every vertex of $B$ is adjacent to at least one vertex of $A$ in $G$. A vertex partition $π= \{V_1, V_2, \ldots, V_k\}$ of $G$ is called a \emph{transitive $k$-partition} if $V_i ...
Subhabrata Paul, Kamal Santra
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The complexity of two graph orientation problems
, 2012 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2012 ElsevierWe consider two orientation problems in a graph, namely the minimization of the sum of all the shortest path ...
Noble, Steven D. +7 more
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Arthritis Care &Research, EarlyView.Objective Frailty occurs prematurely in rheumatoid arthritis (RA) and is associated with poor health outcomes. We compared the performance of four frailty instruments, including a pragmatic alternative measure using chair sit‐to‐stand (STS), and evaluated their abilities to predict poor health outcomes.
Kylie E. Riggles +14 more
wiley +1 more source
On the shelling antimatroids of split graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 Chordal graph shelling antimatroids have received little attention with regard to their combinatorial properties and related optimization problems, as compared to the case of poset shelling antimatroids.
Jean Cardinal +2 more
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Advanced Science, EarlyView.ABSTRACT Liver metastasis is a leading cause of mortality in colorectal cancer (CRC), where the inflammatory tumor microenvironment, specifically neutrophil infiltration, significantly promotes metastatic colonization. This study reveals a pro‐metastatic role for alpha‐1 antitrypsin (A1AT) in CRC liver metastasis via a dual mechanism involving ...
Qian Fei +11 more
wiley +1 more source
Exploiting structure to cope with NP-hard graph problems: Polynomial and exponential time exact algorithms [PDF]
, 2010 An ideal algorithm for solving a particular problem always finds an optimal solution, finds such a solution for every possible instance, and finds it in polynomial time.
VAN-'T-HOF, PIM
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