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
Informative Missingness in Nominal Data: A Graph-Theoretic Approach to Revealing Hidden Structure. [PDF]
Zangene E, Schwämmle V, Jafari M.
europepmc +1 more source
Asymmetric Results About Graph Homomorphisms
ABSTRACT Many important results in extremal graph theory can be roughly summarized as “if a triangle‐free graph G$$ G $$ has certain properties, then it has a homomorphism to a triangle‐free graph Γ$$ \Gamma $$ of bounded size.” For example, bounds on homomorphism thresholds give such a statement if G$$ G $$ has sufficiently high minimum degree, and ...
Lior Gishboliner +2 more
wiley +1 more source
Effects on Seidel energy of two special types of graphs by perturbing edges
Let G be a simple undirected graph, and let S(G) be its Seidel matrix. The Seidel energy of G is defined as ES(G)=∑i=1n|λS(G)|, where λS(G),λS(G),…,λS(G) are Seidel eigenvalues of G.
doaj +1 more source
First Zagreb energy of self-looped graphs: predictive insights into kidney infection drugs and theoretical bounds. [PDF]
Yashaswini L, Rakshith BR, Nagaraja P.
europepmc +1 more source
Abstract Ecological communities are complex and exhibit considerable spatial variability, presenting challenges in accurately understanding these systems. A primary obstacle in ecological research is the existence of ‘missing links’ between species: inevitable unobserved interactions that limit our comprehension of ecological networks and their ...
Kesem Abramov +4 more
wiley +1 more source
scDEBGCL: a deep embedding approach based on bipartite graph contrastive learning for single-cell RNA-seq data. [PDF]
Wang J +5 more
europepmc +1 more source
Knowledge Spillover Network and Optimal R&D Policy in Oligopoly
ABSTRACT This paper studies optimal R&D policy in a Cournot oligopoly with network‐based knowledge spillovers. Generalizing the standard two‐stage model of Kamien et al. (1992), we characterize the socially optimal policy by decomposing the net externality of private innovation into three channels: the market expansion effect, direct knowledge ...
Jun‐Hyung Lee
wiley +1 more source
Observer-based prescribed-time lag bipartite consensus of nonlinear multi-agent systems under event-triggered mechanism. [PDF]
Tian J +5 more
europepmc +1 more source
Global Population Structure and Dynamics of Wheat Powdery Mildew
ABSTRACT The global movement of pests and pathogens can often be traced to human migratory activities that include the movement of agricultural crops. The causal agent of wheat powdery mildew, the ascomycete fungus Blumeria graminis f. sp. tritici (B. graminis f. sp.
Tim Kloppe +3 more
wiley +1 more source

