5 papers
The global structure of locally chordal graphs
Tara Abrishami, Paul Knappe
A graph is locally chordal if each of its small-radius balls is chordal. In an earlier work [AKK25], the authors and Kobler proved that locally chordal graphs can be characterized…
Locally interval graphs are circular-arc graphs
Tara Abrishami, Sandra Albrechtsen, Nathan Bowler +2
Circular-arc graphs are graphs that can be represented as intersection graphs of subpaths of a cycle. Interval graphs are graphs that can be represented as intersection graphs of s…
A structure theorem for rooted connectivity in bidirected graphs
Tara Abrishami, Nathan Bowler, Attila Joó +2
Recently, bidirected graphs have received increasing attention from the graph theory community with both structural and algorithmic results. Bidirected graphs are a generalization…
Locally chordal graphs
Tara Abrishami, Paul Knappe, Jonas Kobler
In this paper we study locally chordal graphs, i.e. graphs where every small-radius ball is chordal. We prove four characterizations of locally chordal graphs. Two are counterparts…
Periodic colorings and orientations in infinite graphs
Tara Abrishami, Louis Esperet, Ugo Giocanti +3
We study the existence of periodic colorings and orientations in locally finite graphs. A coloring or orientation of a graph is periodic if the resulting colored or oriented gr…