19 citations · 43 across the 33 of their papers we have counts for
13 papers · 1 filter
Tree-independence number VII. Excluding a star
Maria Chudnovsky, Jadwiga Czyżewska, Marcin Pilipczuk +1
We prove that for every fixed integer and every planar graph , the class of -induced-minor-free and -induced-subgraph-free graphs has polylogarithmic tree-indepe…
Dominated balanced separators in wheel-induced-minor-free graphs
Maria Chudnovsky, J. Pascal Gollin, Matjaž Krnc +1
Gartland and Lokshtanov conjectured that every graph that excludes some planar graph as an induced minor has a balanced separator, that is, a separator whose deletion leaves every…
Localized Erdős-Pósa Property for Subdivisions
Icey Siyi Ai, Maria Chudnovsky, Julien Codsi
For a graph , we say that has the Erdős-Pósa property for subdivisions with function , if, for every nonnegative integer and every graph , either contains (as…
Induced minors and subpolynomial treewidth
Maria Chudnovsky, Julien Codsi, David Fischer +1
Given a family of graphs, we say that a graph is -induced-minor-free if no induced minor of is isomorphic to a member of , We denote…
(Treewidth, Clique)-Boundedness and Poly-logarithmic Tree-Independence
Maria Chudnovsky, Ajaykrishnan E S, Daniel Lokshtanov
An independent set in a graph is a set of pairwise non-adjacent vertices. A tree decomposition of is a pair where is a tree and …
Tree-independence number VI. Thetas and pyramids
Maria Chudnovsky, Julien Codsi
Given a family of graphs, we say that a graph is -free if no induced subgraph of is isomorphic to a member of . Let …
String Graph Obstacles of High Girth and of Bounded Degree
Maria Chudnovsky, David Eppstein, David Fischer
A string graph is the intersection graph of curves in the plane. Kratochvíl previously showed the existence of infinitely many obstacles: graphs that are not string graphs but for…
A simple layered-wheel-like construction
Maria Chudnovsky, David Fischer, Sepehr Hajebi +2
In recent years, there has been significant interest in characterizing the induced subgraph obstructions to bounded treewidth and pathwidth. While this has recently been resolved f…
The vertex sets of subtrees of a tree
Maria Chudnovsky, Tung Nguyen, Alex Scott +1
Let be a set of subsets of a set . When is there a tree with vertex set such that each member of is the set of vertices of a subtree of ?…
Induced subgraphs and tree decompositions XIX. Thetas and forests
Maria Chudnovsky, Julien Codsi, Sepehr Hajebi +1
Let be a graph and let be a hereditary class of theta-free graphs such that . We prove that if (a) is a forest; and (b) exc…
Coarse Balanced Separators and Tree-Decompositions
Maria Chudnovsky, Robert Hickingbotham
A classical result of Robertson and Seymour (1986) states that the treewidth of a graph is linearly tied to its separation number: the smallest integer such that, for every wei…
Tree independence number V. Walls and claws
Maria Chudnovsky, Julien Codsi, Daniel Lokshtanov +2
Given a family of graphs, we say that a graph is -free if no induced subgraph of is isomorphic to a member of . Let be t…
Strictly Metrizable Graphs are Minor-Closed
Maria Chudnovsky, Daniel Cizma, Nati Linial
A consistent path system in a graph is an collection of paths, with exactly one path between any two vertices in . A path system is said to be consistent if it is intersecti…