17 citations · 52 across the 16 of their papers we have counts for
4 papers · 1 filter
Additive Quasi-isometry via rooted graph partitions and layering partition
Dibyayan Chakraborty, Yann Vaxès
For a graph , denotes the class of all subdivisions of and denotes the treewidth of . In this paper, we prove the following. For $k\geq 1, R\g…
Isometric path complexity of graphs
Dibyayan Chakraborty, Jérémie Chalopin, Florent Foucaud +1
A set of isometric paths of a graph is ``-rooted'', where is a vertex of , if is one of the endpoints of all the isometric paths in . The isometric path co…
ABC(T)-graphs: an axiomatic characterization of the median procedure in graphs with connected and G-connected medians
Laurine Bénéteau, Jérémie Chalopin, Victor Chepoi +1
The median function is a location/consensus function that maps any profile (a finite multiset of vertices) to the set of vertices that minimize the distance sum to vertices fro…
Graphs with -connected medians
Laurine Bénéteau, Jérémie Chalopin, Victor Chepoi +1
The median of a graph with weighted vertices is the set of all vertices minimizing the sum of weighted distances from to the vertices of . For any integer ,…