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20142026
most citedPolariton Topological Insulator

280 citations

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8 papers · 1 filter

math.CO2024

On full-separating sets and related codes in graphs

Dipayan Chakraborty, Annegret K. Wagler

A domination-based identification problem on a graph is one where the objective is to choose a subset of the vertex set of such that has both, a domination property…

math.CO2023

Algorithms and hardness for Metric Dimension on digraphs

Antoine Dailly, Florent Foucaud, Anni Hakanen

In the Metric Dimension problem, one asks for a minimum-size set of vertices such that for any pair of vertices of the graph, there is a vertex from whose two distances to…

math.CO2023★ 2 cited

Extremal digraphs for open neighbourhood location-domination and identifying codes

Florent Foucaud, Narges Ghareghani, Pouyeh Sharifani

A set of vertices of a digraph is called an open neighbourhood locating-dominating set if every vertex in has an in-neighbour in , and for every pair of vertic…

math.CO2023

On locating and neighbor-locating colorings of sparse graphs

Dipayan Chakraborty, Florent Foucaud, Soumen Nandi +2

A proper -coloring of a graph is a \emph{neighbor-locating -coloring} if for each pair of vertices in the same color class, the two sets of colors found in their respecti…

math.CO2022★ 3 cited

Bounds and extremal graphs for total dominating identifying codes

Florent Foucaud, Tuomo Lehtilä

An identifying code of a graph is a dominating set of such that any two distinct vertices of have distinct closed neighbourhoods within . The smallest size of an…

math.CO2021★ 3 cited

Obstructions for matroids of path-width at most k and graphs of linear rank-width at most k

Mamadou Mostapha Kanté, Eun Jung Kim, O-joung Kwon +1

Every minor-closed class of matroids of bounded branch-width can be characterized by a list of excluded minors, but unlike graphs, this list may need to be infinite in general. How…

math.CO2021★ 10 cited

Characterizing extremal graphs for open neighbourhood location-domination

Florent Foucaud, Narges Ghareghani, Aida Roshany-Tabrizi +1

An open neighbourhood locating-dominating set is a set of vertices of a graph such that each vertex of has a neighbour in , and for any two vertices of , th…

math.CO2020

Tree pivot-minors and linear rank-width

Konrad K. Dabrowski, François Dross, Jisu Jeong +4

Tree-width and its linear variant path-width play a central role for the graph minor relation. In particular, Robertson and Seymour (1983) proved that for every tree~, the class…