Results 41 to 50 of about 552 (213)
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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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
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Advanced Science, EarlyView.We establish a tBid‐mediated cell ablation system in axolotls, achieve rapid and efficient ablation of multiple cell types, including muscle stem cell, spinal cord cell, and connective tissue (CT) cells. We investigate the role of CT using tBid‐mediated CT ablation and identify its essential role for limb development and regeneration.
Yan Hu +11 more
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Decoding Spatial Heterogeneity and Multi‐Omics Regulation with Hierarchical Graph Learning
Advanced Science, EarlyView.ABSTRACT Recent advances in spatial multi‐omics technologies have enabled the simultaneous profiling of multiple molecular layers within the same tissue slice, providing unprecedented opportunities to investigate tissue spatial organization. However, most existing computational methods identify spatial domains in a purely data‐driven manner, rarely ...
Jiazhou Chen +6 more
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On the multipacking number of grid graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 In 2001, Erwin introduced broadcast domination in graphs. It is a variant of classical domination where selected vertices may have different domination powers. The minimum cost of a dominating broadcast in a graph $G$ is denoted $\gamma_b(G)$.
Laurent Beaudou, Richard C. Brewster
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Chordal multipartite graphs and chordal colorings
Discrete Mathematics, 2007 A graph is defined to be chordal colorable if it admits a proper vertex-coloring such that each minimal separator induces a subgraph in which two vertices are adjacent if and only if they are differently colored. All chordal graphs and all chordal bipartite graphs are chordal colorable. All chordal colorable graphs are weakly chordal.
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Discrete Applied Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uri N. Peled, Udi Rotics
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Advanced Science, EarlyView.In renal calcium oxalate stone formation, G6PC downregulation leads to lactate accumulation. This lactate mediates CBP/p300‐dependent lactylation of SNAIL1 at K206, promoting its nuclear translocation. Nuclear SNAIL1 activates the TGF‐β/SMAD3 pathway, driving epithelial‐mesenchymal transition and fibrosis, which ultimately facilitates crystal ...
Kai Liu +16 more
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Choice Numbers of Chordal, Chordless, and Some Non-Chordal Graphs
MathematicsWe prove that chordal graphs are chromatic-choosable and present a decomposition theorem to help estimate the choice numbers for certain classes of chordless and non-chordal graphs.
Julian Allagan +3 more
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Efficient (j, k)-Dominating Functions
Discussiones Mathematicae Graph Theory, 2023 For positive integers j and k, an efficient (j, k)-dominating function of a graph G = (V, E) is a function f : V → {0, 1, 2, . . ., j} such that the sum of function values in the closed neighbourhood of every vertex equals k. The relationship between the
Klostermeyer William F. +3 more
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