An Improved Quasi‐Isometry Between Graphs of Bounded Cliquewidth and Graphs of Bounded Treewidth
ABSTRACT Cliquewidth is a dense analogue of treewidth. It can be deduced from recent results by Hickingbotham [arXiv:2501.10840] and Nguyen, Scott, and Seymour [arXiv:2501.09839] that graphs of bounded cliquewidth are quasi‐isometric to graphs of bounded treewidth.
Marc Distel
wiley +1 more source
Explicit minimisers for anisotropic Riesz energies. [PDF]
Frank RL +5 more
europepmc +1 more source
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 ) $G=(V,E)$ is said to be ( X , Y ) $(X,Y)$‐embeddable if any set of induced edge lengths from an ...
Sean Dewar +3 more
wiley +1 more source
A Lyapunov-Based Analysis on the Almost Periodicity of Impulsive Conformable Reaction-Diffusion Neural Networks with Distributed Delays. [PDF]
Stamova I, Stamov G, Spirova C.
europepmc +1 more source
Trapped surfaces in spacetimes with symmetries and applications to uniqueness theorems
Alberto Carrasco Ferreira
openalex +1 more source
Fractional List Packing for Layered Graphs
ABSTRACT The fractional list packing number χ ℓ • ( G ) ${\chi }_{\ell }^{\bullet }(G)$ of a graph G $G$ is a graph invariant that has recently arisen from the study of disjoint list‐colourings. It measures how large the lists of a list‐assignment L : V ( G ) → 2 N $L:V(G)\to {2}^{{\mathbb{N}}}$ need to be to ensure the existence of a “perfectly ...
Stijn Cambie, Wouter Cames van Batenburg
wiley +1 more source
Dynamic stability analysis of a fractional calculus-based colon cancer model with therapeutic interventions. [PDF]
Tai R, Chen Z, Zhao Y, Shi R.
europepmc +1 more source
Halin's Grid Theorem for Digraphs
ABSTRACT Halin showed that every thick end of every graph contains an infinite grid. We extend Halin's theorem to digraphs. More precisely, we show that for every infinite family ℛ ${\rm{ {\mathcal R} }}$ of disjoint equivalent out‐rays there is a grid whose vertical rays are contained in ℛ ${\rm{ {\mathcal R} }}$.
Florian Reich
wiley +1 more source
Artificial neural network analysis of a fractional cyber-epidemic model in wireless sensors under the proportional Hadamard-Caputo operator. [PDF]
Barakat MA +5 more
europepmc +1 more source
Orientations of Graphs With at Most One Directed Path Between Every Pair of Vertices
ABSTRACT Given a graph G $G$, we say that an orientation D $D$ of G $G$ is a KT orientation if, for all u , v ∈ V ( D ) $u,v\in V(D)$, there is at most one directed path (in any direction) between u $u$ and v $v$. Graphs that admit such orientations have been used to construct graphs with large chromatic number and small clique number that served as ...
Barbora Dohnalová +3 more
wiley +1 more source

