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(Treewidth, Clique)-Boundedness and Poly-logarithmic Tree-Independence

open access: yes
An {\em independent set} in a graph $G$ is a set of pairwise non-adjacent vertices. A {\em tree decomposition} of $G$ is a pair $(T, χ)$ where $T$ is a tree and $χ: V(T) \rightarrow 2^{V(G)}$ is a function satisfying the following two axioms: for every edge $uv \in V(G)$ there is a $x \in V(T)$ such that $\{u,v\} \subseteq χ(x)$, and for every vertex ...
Chudnovsky, Maria   +2 more
openaire   +2 more sources

Layered tree-independence number and clique-based separators

open access: yes
37 pages, 4 ...
Dallard, Clément   +3 more
openaire   +2 more sources

Homophily within and across groups. [PDF]

open access: yesNat Commun
K Rizi A   +3 more
europepmc   +1 more source

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