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Single-cell transcriptomics reveals cellular dynamics and chemokine CXCL2-mediated smooth muscle cell proliferation in arterial repair. [PDF]
Huang X +7 more
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Optimization design of centrifugal impeller based on Bezier surface and FFD space grid parameterization. [PDF]
Wang Y, Sun Z, Liu J, Liu M, Zhou Y.
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Long-term effects of altitude on changes in intestinal flora in a young and middle-aged population: a longitudinal analysis before and after 6 months of entry to high altitude. [PDF]
Kan H +6 more
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Bu Yang Huan Wu Decoction controls synovitis via HIF-1/VEGF signaling for osteoarthritis therapy. [PDF]
Li X, Lv Y, Yang X, Wang S, Liang Q.
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Chromaticity of Chordal Graphs
Graphs and Combinatorics, 1997A chordal graph is a graph that does not contain any induced cycle with length greater than 3. A polynomial \(P=\lambda^{m_0}(\lambda-1)^{m_1}\cdots (\lambda-k)^{m_k}\) is said to be a chordal polynomial, if for any graph \(G\), \(P(G,\lambda)=P\) implies \(G\) is a chordal graph. The main result of this paper is the following: If \(m_0=1\) and \(\sum_{
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Clique Partitions of Chordal Graphs
Combinatorics, Probability and Computing, 1993To partition the edges of a chordal graph on n vertices into cliques may require as many as n2/6 cliques; there is an example requiring this many, which is also a threshold graph and a split graph. It is unknown whether this many cliques will always suffice. We are able to show that (1 − c)n2/4 cliques will suffice for some c > 0.
Erdős, Paul +2 more
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Dominating Sets in Chordal Graphs
SIAM Journal on Computing, 1982A set of vertices D is a dominating set for a graph if every vertex is either in D or adjacent to a vertex which is in D. We show that the problem of finding a minimum dominating set in a chordal graph is NP-complete, even when restricted to undirected path graphs, but exhibit a linear time greedy algorithm for the problem further restricted to ...
Booth, Kellogg S., Johnson, J. Howard
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Graph searching on chordal graphs
1996Two variations of the graph searching problem, edge searching and node searching, are studied on several classes of chordal graphs, which include split graphs, interval graphs and k-starlike graphs.
Sheng-Lung Peng +4 more
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Matrix Completions and Chordal Graphs
Acta Mathematica Sinica, English Series, 2003This paper is an introduction to few problems and results in matrix completion problems. The topics which are considered here include questions on norm completions, rank completions, positive definite completions, numerical range completion properties and rank decomposability.
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