Results 91 to 100 of about 15,625 (297)
Some New Properties for Degree-Based Graph Entropies
Entropy, 2015 The graph entropies inspired by Shannon’s entropy concept become the information-theoretic quantities for measuring the structural information of graphs and complex networks.
Guoxiang Lu, Bingqing Li, Lijia Wang
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Distinguishing Cartesian Powers of Graphs [PDF]
The Electronic Journal of Combinatorics, 2005 Given a graph $G$, a labeling $c:V(G) \rightarrow \{1, 2, \ldots, d\}$ is said to be $d$-distinguishing if the only element in ${\rm Aut}(G)$ that preserves the labels is the identity. The distinguishing number of $G$, denoted by $D(G)$, is the minimum $d$ such that $G$ has a $d$-distinguishing labeling.
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Molecular Oncology, EarlyView.Radiotherapy (RT) response depends on the DNA repair capacity of tumor and host cells. We show that circulating tumor cell (CTC) counts and apoptosis rates before and after RT predict treatment response and outcome, which can be accessed via easily accessible liquid biopsy approaches. Created in BioRender. Wikman, H.
Yvonne Goy +10 more
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MathematicsGraph Neural Networks (GNNs) face significant challenges in node classification across diverse graph structures. Traditional message passing mechanisms often fail to adaptively weight node relationships, thereby limiting performance in both homophilic ...
Ahmed Begga +2 more
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Brooks’ theorem on powers of graphs
Discrete Mathematics, 2014 We prove that for $k\geq 3$, the bound given by Brooks' theorem on the chromatic number of $k$-th powers of graphs of maximum degree $Δ\geq 3$ can be lowered by 1, even in the case of online list coloring.
Bonamy, Marthe, Bousquet, Nicolas
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Molecular Oncology, EarlyView.The novel styrylquinazolinone‐based molecule W1B effectively suppresses glioblastoma by inhibiting IGF1R and EGFR. In high‐glucose microenvironments driving tumor resistance, W1B acts synergistically with the EGFR inhibitor dacomitinib. This combination safely blocks compensatory survival signaling in zebrafish xenograft models. Showcasing promising in
Patryk Rurka +9 more
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On the difference of the enhanced power graph and the power graph of a finite group
Journal of Combinatorial Theory, Series AzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sucharita Biswas +3 more
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Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma
Molecular Oncology, EarlyView.Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski +10 more
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The Chromatic Number of Graph Powers [PDF]
, 1993 It is shown that the maximum possible chromatic number of the square of a graph with maximum degree d and girth g is (1+o(1))d 2 if g = 3, 4, 5 or 6, and is Θ(d 2 / log d) if g ≥ 7.
Noga Alon, Bojan Mohar
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Advances in Nonlinear Analysis, 2018 We investigate the asymptotic behavior of solutions to a semilinear heat equation with homogeneous Neumann boundary conditions. It was recently shown that the nontrivial kernel of the linear part leads to the coexistence of fast solutions decaying to 0 ...
Ghisi Marina +2 more
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