activity
20152026
most citedMonitoring the edges of a graph using distances

42 citations · 54 across the 10 of their papers we have counts for

collaborators

10 papers

math.CO2026

Multiset Partition Dimension of Graphs

Azzah Albejani, Yuqing Lin, Joe Ryan +1

In this paper, we introduce the multiset partition dimension of graphs. This parameter extends the classical partition dimension to the multiset setting by considering multiset dis…

cs.DS2020★ 42 cited

Monitoring the edges of a graph using distances

Florent Foucaud, Shih-Shun Kao, Ralf Klasing +2

We introduce a new graph-theoretic concept in the area of network monitoring. A set of vertices of a graph is a \emph{distance-edge-monitoring set} if for every edge of…

math.CO2020

An improved Moore bound and some new optimal families of mixed Abelian Cayley graphs

C. Dalfó, M. A. Fiol, N. López +1

We consider the case in which mixed graphs (with both directed and undirected edges) are Cayley graphs of Abelian groups. In this case, some Moore bounds were derived for the maxim…

math.CO2017

Cube-magic labelings of grids

Rachel Wulan Nirmalasari Wijaya, Joe Ryan, Thomas Kalinowski

We show that the vertices and edges of a -dimensional grid graph () can be labeled with the integers from and $\{1,\ldots,\…

cs.DM2017★ 2 cited

The metric dimension of the circulant graph

Cyriac Grigorious, Thomas Kalinowski, Joe Ryan +1

Let be a connected graph and let denote the distance between vertices . A metric basis for is a set of minimum cardinality such tha…

cs.DM2016★ 4 cited

On the power domination number of de Bruijn and Kautz digraphs

Cyriac Grigorious, Thomas Kalinowski, Joe Ryan +1

Let be a directed graph without parallel arcs, and let be a set of vertices. Let the sequence be defined a…