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20212023
most citedGraphical parameters for classes of tumbling block graphs

5 citations · 11 across the 10 of their papers we have counts for

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11 papers

math.CO2023

Open-locating-dominating sets with error correction

Devin Jean, Suk Seo

An open-locating-dominating set of a graph models a detection system for a facility with a possible "intruder" or a multiprocessor network with a possible malfunctioning processor.…

math.CO2023

On Error-detecting Open-locating-dominating sets

Devin Jean, Suk Seo

An open-dominating set S for a graph G is a subset of vertices where every vertex has a neighbor in S. An open-locating-dominating set S for a graph G is an open-dominating set suc…

cs.DM2022★ 2 cited

Fault-Tolerant Locating-Dominating sets with Error-correction

Devin Jean, Suk Seo

A locating-dominating set is a subset of vertices representing "detectors" in a graph G; each detector monitors its closed neighborhood and can distinguish its own location from it…

math.CO2022

Fault-Tolerant Detection Systems on the King's Grid

Devin Jean, Suk Seo

A detection system, modeled in a graph, uses "detectors" on a subset of vertices to uniquely identify an "intruder" at any vertex. We consider two types of detection systems: open-…

math.CO2022

On Redundant Locating-Dominating Sets

Devin Jean, Suk Seo

A locating-dominating set in a graph G is a subset of vertices representing "detectors" which can locate an "intruder" given that each detector covers its closed neighborhood and c…

math.CO2022

Optimal Error-detection system for Identifying Codes

Devin Jean, Suk Seo

Assume that a graph models a detection system for a facility with a possible ``intruder," or a multiprocessor network with a possible malfunctioning processor. We consider the…

cs.DM2022★ 3 cited

Error-correcting Identifying Codes

Devin Jean, Suk Seo

Assume that a graph models a detection system for a facility with a possible "intruder," or a multiprocessor network with a possible malfunctioning processor. We consider the p…

math.CO2022★ 5 cited

Graphical parameters for classes of tumbling block graphs

Suk J. Seo, Peter J. Slater

The infinite tumbling block graph is a bipartite graph, where each vertex in one partite set is of degree 3 and each vertex in the other partite set is of degree 6. It is a 2-dimen…

cs.DM2022★ 1 cited

The NP-completeness of Redundant Open-Locating-Dominating Set

Robert Dohner, Suk Jai Seo

For a graph G, a dominating set D is a subset of vertices in G where each of the vertices in G is in D or adjacent to some vertex in D. An open-locating-dominating (OLD) set models…

math.CO2022

Fault-tolerant Locating-Dominating Sets on the Infinite King Grid

Devin Jean, Suk Seo

Let be a graph of a network system with vertices, , representing physical locations and edges, , representing informational connectivity. A \emph{locating-dominatin…

math.CO2021

Fault-tolerant Identifying Codes in Special Classes of Graphs

Devin C. Jean, Suk J. Seo

A detection system, modeled in a graph, is composed of "detectors" positioned at a subset of vertices in order to uniquely locate an ``intruder" at any vertex. \emph{Identifying co…