Results 91 to 100 of about 64,068 (309)
Energy Conditions for Hamiltonicity of Graphs
Let G be an undirected simple graph of order n. Let A(G) be the adjacency matrix of G, and let μ1(G)≤μ2(G)≤⋯≤μn(G) be its eigenvalues. The energy of G is defined as ℰ(G)=∑i=1n|μi(G)|. Denote by GBPT a bipartite graph.
Guidong Yu +3 more
doaj +1 more source
Transversal Hamilton Cycle in Hypergraph Systems
20 pages,5 ...
Yangyang Cheng +4 more
openaire +2 more sources
This study identifies elevated taurocholic acid (TCA) in Major Depressive Disorder patients. Gut microbiome‐associated TCA impairs hippocampal neurogenesis, triggers microglia activation, and elicits depression‐like behavior in mice via the S1PR2. In patients, functional neuroimaging reveals that serum TCA levels correlate with altered functional ...
Xiaoying Cai +12 more
wiley +1 more source
Tight bounds for powers of Hamilton cycles in tournaments
Nemanja Draganić +2 more
openalex +1 more source
The probability of selecting $k$ edge-disjoint Hamilton cycles in the complete graph [PDF]
Asaf Ferber, Kaarel Haenni, Vishesh Jain
openalex +1 more source
New Ore-type Conditions for Hamilton Cycles and Spanning Trees with few leaves [PDF]
Zh. G. Nikoghosyan
openalex +1 more source
Seasonal cold adaptation is vital for insect survival, yet the molecular mechanisms linking diapause to mitochondrial resilience remain largely unresolved. We identify ascaroside C9 (asc‐C9) as a key endocrine signal that enhances diapause survival during cold stress by activating the AKHR–PGC1α–UCP4 axis, thereby driving cold‐induced lipolysis and ...
Jiao Zhou +14 more
wiley +1 more source
Constructing Hamilton cycles and perfect matchings efficiently
Michael Anastos
openalex +2 more sources
Loose Hamilton cycles in hypergraphs
We prove that any k-uniform hypergraph on n vertices with minimum degree at least n/(2(k-1))+o(n) contains a loose Hamilton cycle. The proof strategy is similar to that used by K hn and Osthus for the 3-uniform case. Though some additional difficulties arise in the k-uniform case, our argument here is considerably simplified by applying the recent ...
Keevash, Peter +3 more
openaire +2 more sources
Normal bladders exhibit quiescent fibroblasts/macrophages, whereas neurogenic bladders show acute‐phase Itga8⁺ fibroblast expansion driven by Trem2⁺ macrophage‐secreted Fn1, which activates FAK/RhoA/ROCK signaling, promotes cytoskeletal remodeling, and upregulates pro‐fibrotic genes.
Jiaxin Wang +9 more
wiley +1 more source

