Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
scBiG for representation learning of single-cell gene expression data based on bipartite graph embedding. [PDF]
Li T, Qian K, Wang X, Li WV, Li H.
europepmc +1 more source
Novel link prediction for large-scale miRNA-lncRNA interaction network in a bipartite graph. [PDF]
Huang ZA +4 more
europepmc +1 more source
In‐Memory Continuous‐Time SAT Solver Based on Bidirectional 11‐T SRAM Macro
This article reported a continuous‐time (CT) Boolean satisfiability (SAT) problem solver using bidirectional 11T‐SRAM macro. The proposed system operates asynchronously using capacitor‐based gradient integration and maximizes the parallelism for SAT solving by in‐memory computing (IMC).
Dongseok Kwon +3 more
wiley +1 more source
BiGATAE: a bipartite graph attention auto-encoder enhancing spatial domain identification from single-slice to multi-slices. [PDF]
Tao Y, Sun X, Wang F.
europepmc +1 more source
Measurement and simulation of the relatively competitive advantages and weaknesses between economies based on bipartite graph theory. [PDF]
Guan J, Xu X, Wu S, Xing L.
europepmc +1 more source
Transforming Solutions for the Oberwolfach Problem into Solutions for the Spouse‐Loving Variant
ABSTRACT The Oberwolfach problem OP ( F ), for a 2‐factor F of K n, asks whether there exists a 2‐factorization of K n (if n is odd) or K n − I (if n is even) where each 2‐factor is isomorphic to F. Here, I denotes any 1‐factor of K n. For even n, the problem OP ( F ) may also be denoted OP − ( F ), and has been nicknamed the spouse‐avoiding variant ...
Maruša Lekše, Mateja Šajna
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Data Acquisition Based on Stable Matching of Bipartite Graph in Cooperative Vehicle-Infrastructure Systems. [PDF]
Tang X, Hong D, Chen W.
europepmc +1 more source
Tight Bounds for Hypercube Minor‐Universality
ABSTRACT A graph G is m‐minor‐universal if every graph H with at most m edges and no isolated vertices is contained as a minor in G. Recently, Benjamini, Kalifa and Tzalik proved that there is an absolute constant c > 0 such that the d‐dimensional hypercube Q d is ( c ⋅ 2 d / d)‐minor‐universal, while there is an absolute constant K > 0 such that Q d ...
Emma Hogan +5 more
wiley +1 more source
Long Induced Paths in K s , s‐Free Graphs
ABSTRACT More than 40 years ago, Galvin, Rival, and Sands showed that every K s , s‐free graph containing an n‐vertex path must contain an induced path of length f ( n ), where f ( n ) → ∞ as n → ∞. Recently, it was shown by Duron, Esperet, and Raymond that one can take f ( n ) = ( log log n ) 1 / 5 − o ( 1 ).
Zach Hunter +3 more
wiley +1 more source

