The pants graph of a free group
Abstract We introduce the concept of a pants decomposition for a finitely generated free group and construct the corresponding pants graph. A pants decomposition of a free group leads to the formation of a simplicial graph, referred to as the pants graph of a free group, consisting of all possible pants decompositions.
Donggyun Seo
wiley +1 more source
Enumeration of Autocatalytic Subsystems in Large Chemical Reaction Networks. [PDF]
Golnik R +3 more
europepmc +1 more source
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source
Note on extremal problems about connected subgraph sums. [PDF]
Cambie S, Groenland C.
europepmc +1 more source
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Image contraction through fuzzy soft outerplanar graph structures. [PDF]
Jaisankar D, Ramalingam S, Zegeye GB.
europepmc +1 more source
eMap 2.0: A Web-Based Platform for Identifying electron Transfer Pathways in Proteins and Protein Families. [PDF]
Gayvert JR +3 more
europepmc +1 more source
A fuzzy graph theoretic approach to face shape recognition using cubic outerplanar structures. [PDF]
Jaisankar D, Ramalingam S, Zegeye GB.
europepmc +1 more source
From Data Completion to Problems on Hypercubes: A Parameterized Analysis of the Independent Set Problem. [PDF]
Eiben E +4 more
europepmc +1 more source
Multimodal learning on heterogeneous subgraphs and LLMs representation for MHC-peptide binding affinity prediction. [PDF]
Li R, Wang Y, Li H, Zhou B, Peng Q.
europepmc +1 more source

