Results 141 to 150 of about 10,299 (219)
ABSTRACT Microorganism and plant interactions are crucial for development and environmental adaptation. Plant growth promoting bacteria enhance agricultural productivity in a sustainable manner, while epigenetic modifications such as DNA methylation regulate gene expression and adaptive responses.
Pedro Igor Zocateli +12 more
wiley +1 more source
The maximum number of edges of bipartite 1-planar graphs with 1-disk drawings
A graph is 1-planar if it admits a drawing in the plane such that each edge is crossed at most once. Let G be a bipartite 1-planar graph with bipartition sets X and Y. A 1-disk [Formula: see text] drawing of G is a 1-planar drawing such that all vertices
Guiping Wang
doaj +1 more source
Abstract Single‐cell multi‐omics sequencing technology provides a powerful tool for studying cellular heterogeneity. However, beyond the challenges of sparsity, heterogeneity, and dimensionality differences, a critical challenge in multi‐omics data integration lies in preserving the true regulatory relationships among molecular features.
Yucheng Lu, Xun Zhang, Hongwei Li
wiley +1 more source
Abstract Genome–phenome association (GPA) prediction can broaden the understanding of biological mechanisms underlying complex phenotypic traits (e.g., diseases and agronomic traits). Traditional deep matrix factorization (DMF)‐based GPA methods can integrate multiple data types and uncover nonlinear associations but often rely on low‐dimensional ...
Ran Duan +4 more
wiley +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
wiley +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
Bipartite friends and strangers walking on bipartite graphs
18 pages, 8 figures, 2 ...
openaire +3 more sources
Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar +3 more
wiley +1 more source
Toward heterogeneous information fusion: bipartite graph convolutional networks for in silico drug repurposing. [PDF]
Wang Z, Zhou M, Arnold C.
europepmc +1 more source

