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Algorithm-Based Common Microcirculatory Framework for Monitoring and Visualizing the Integrated Pancreatic Microcirculation in Type 2 Diabetes Mellitus Mice. [PDF]
Li Y +10 more
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Perturbing Pentalene: Aromaticity and Antiaromaticity in a Non-Alternant Polycyclic Aromatic Hydrocarbon and BN-Heteroanalogues. [PDF]
Anstöter CS, Fowler PW.
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The Maximum Induced Matching Problem for Some Subclasses of Weakly Chordal Graphs
Chandra Mohan Krishnamurthy
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Journal of Graph Theory, 1993
AbstractThe chordality of a graph G = (V, E) is defined as the minimum k such that we can write E = E1 ∩ … ∩ Ek with each (V, Ei) a chordal graph. We present several results bounding the value of this generalization of boxicity. Our principal result is that the chordality of a graph is at most its tree width.
Terry A. McKee, Edward R. Scheinerman
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AbstractThe chordality of a graph G = (V, E) is defined as the minimum k such that we can write E = E1 ∩ … ∩ Ek with each (V, Ei) a chordal graph. We present several results bounding the value of this generalization of boxicity. Our principal result is that the chordality of a graph is at most its tree width.
Terry A. McKee, Edward R. Scheinerman
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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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On the Hyperbolicity of Chordal Graphs
Annals of Combinatorics, 2001The hyperbolicity of a metric space is the infimum of all \(\delta\) for which \(d(x,y)+ d(u,v)\leq \max\{d(x, u)+ d(y,v), d(x,v)+ d(y,u)\}+ \delta\) for all elements \(x\), \(y\), \(u\), \(v\) from the space. The notion can be viewed as expressing how `tree like' the space is, as spaces with hyperbolicity \(0\) are precisely the metric trees.
Brinkmann, Gunnar +2 more
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A generalization of chordal graphs
Journal of Graph Theory, 1984AbstractIn a 3‐connected planar triangulation, every circuit of length ≥ 4 divides the rest of the edges into two nontrivial parts (inside and outside) which are “separated” by the circuit. Neil Robertson asked to what extent triangulations are characterized by this property, and conjectured an answer.
Paul D. Seymour, R. W. Weaver
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Chordal graphs and their clique graphs
1995In the first part of this paper, a new structure for chordal graph is introduced, namely the clique graph. This structure is shown to be optimal with regard to the set of clique trees. The greedy aspect of the recognition algorithms of chordal graphs is studied.
Philippe Galinier +2 more
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