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Coloring Mixed and Directional Interval Graphs
, 2023 A mixed graph has a set of vertices, a set of undirected egdes, and a set of directed arcs. A proper coloring of a mixed graph $G$ is a function $c$ that assigns to each vertex in $G$ a positive integer such that, for each edge $uv$ in $G$, $c(u) \ne c(v)$ and, for each arc $uv$ in $G$, $c(u) < c(v)$. For a mixed graph $G$, the chromatic number $χ(G)
Grzegorz Gutowski +5 more
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Some Covering and Packing Problems for Mixed Triples
AppliedMathA mixed graph has both edges and directed edges (or “arcs”). A complete mixed graph on v vertices, denoted Mv, has, for every pair of vertices u and v, an edge {u,v}, an arc (u,v), and an arc (v,u).
Benkam Bobga, Robert Gardner
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Extremal graphs with maximum complementary second Zagreb index
AIMS MathematicsThe complementary second Zagreb index of a graph $ G $ is defined as $ cM_{2}(G) = \sum_{uv \in E(G)} |d_{G}(u)^{2}-d_{G}(v)^{2}| $. In this paper, we prove that a graph having maximum complementary second Zagreb index among all graphs of order $ n $ is
Hui Gao
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Integral Mixed Unit Interval Graphs
Discrete Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le, Van Bang, Rautenbach, Dieter
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Crosstalk between the ribosome quality control‐associated E3 ubiquitin ligases LTN1 and RNF10
FEBS Letters, EarlyView.Loss of the E3 ligase LTN1, the ubiquitin‐like modifier UFM1, or the deubiquitinating enzyme UFSP2 disrupts endoplasmic reticulum–ribosome quality control (ER‐RQC), a pathway that removes stalled ribosomes and faulty proteins. This disruption may trigger a compensatory response to ER‐RQC defects, including increased expression of the E3 ligase RNF10 ...
Yuxi Huang +8 more
wiley +1 more source
Multi-Scale Mixed Dense Graph Convolution Network for Skeleton-Based Action Recognition
IEEE Access, 2021 In skeleton-based action recognition, the approaches based on graph convolutional networks(GCN) have achieved remarkable performance by modeling spatial-temporal graphs to explore the physical dependencies between body joints.
Hailun Xia, Xinkai Gao
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Molecular Oncology, EarlyView.PARP inhibitors are used to treat a small subset of prostate cancer patients. These studies reveal that PARP1 activity and expression are different between European American and African American prostate cancer tissue samples. Additionally, different PARP inhibitors cause unique and overlapping transcriptional changes, notably, p53 pathway upregulation.
Moriah L. Cunningham +21 more
wiley +1 more source
The Vertex-Edge Resolvability of Some Wheel-Related Graphs
Journal of Mathematics, 2021 A vertex w∈VH distinguishes (or resolves) two elements (edges or vertices) a,z∈VH∪EH if dw,a≠dw,z. A set Wm of vertices in a nontrivial connected graph H is said to be a mixed resolving set for H if every two different elements (edges and vertices) of H ...
Bao-Hua Xing +4 more
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Uniform Mixing on Cayley Graphs
The Electronic Journal of Combinatorics, 2017 We provide new examples of Cayley graphs on which the quantum walks reach uniform mixing. Our first result is a complete characterization of all $2(d+2)$-regular Cayley graphs over $\mathbb{Z}_3^d$ that admit uniform mixing at time $2\pi/9$. Our second result shows that for every integer $k\ge 3$, we can construct Cayley graphs over $\mathbb{Z}_q^d ...
Godsil, Chris, Zhan, Hanmeng
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Molecular Oncology, EarlyView.This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan +9 more
wiley +1 more source