Results 41 to 50 of about 10,361 (216)
A New Characterization of Unichord-Free Graphs
Unichord-free graphs are defined as having no cycle with a unique chord. They have appeared in several papers recently and are also characterized by minimal separators always inducing edgeless subgraphs (in contrast to characterizing chordal graphs by ...
McKee Terry A.
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It is shown that if the binomial edge ideal of a graph $G$ defines a Koszul algebra, then $G$ must be chordal and claw free.
A. Conca +16 more
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Computing Minimum Rainbow and Strong Rainbow Colorings of Block Graphs [PDF]
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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A 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 $E(G)$.
Chaniotis, Aristotelis +2 more
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The leafage of a chordal graph
The leafage l(G) of a chordal graph G is the minimum number of leaves of a tree in which G has an intersection representation by subtrees. We obtain upper and lower bounds on l(G) and compute it on special classes.
Lin, In-Jen +2 more
core +3 more sources
Clique cutsets beyond chordal graphs [PDF]
Truemper configurations (thetas, pyramids, prisms, and wheels) have played an important role in the study of complex hereditary graph classes (e.g. the class of perfect graphs and the class of even-hole-free graphs), appearing both as excluded configurations, and as configurations around which graphs can be decomposed.
Boncompagni, V, Penev, I, Vušković, K
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Using single‐cell RNA sequencing of lung samples and flow cytometry of peripheral blood, we identified a novel T cell subset with high metallothionein (MT) expression. These MT‐high T cells suppress CD8+ T cell cytotoxicity and are progressively depleted from healthy controls to chronic obstructive pulmonary disease (COPD) patients, positioning them as
Zengqing Liu +23 more
wiley +1 more source
The Geodetic Hull Number is Hard for Chordal Graphs
We show the hardness of the geodetic hull number for chordal ...
Bessy, Stéphane +3 more
core +1 more source
By integrating single‐nuclei and spatial transcriptomics, this study presents a stereoscopic landscape of maize leaf to Puccinia polysora infection. Epidermal and mesophyll cells initiate primary defenses via RLPs/RLKs and jasmonic acid signaling. Cell‐cell communication analyses further reveal the underlying the dynamics of the underlying immune ...
Qiongqiong Wang +16 more
wiley +1 more source
Streptococcus anginosus extracellular vesicles (SA‐EVs) accumulate in gastric tissue, disrupt epithelial tight junctions, and induce gastritis characterized by neutrophil infiltration and elevated cytokines (TNF‐α, IL‐6, IL‐17A). Proteomics identifies TMPC and FBP62 as key SA‐EVs virulence factors; their genetic deletion attenuates inflammation ...
Ying Gong +12 more
wiley +1 more source

