6 citations · 22 across the 18 of their papers we have counts for
7 papers · 1 filter
Minimum Path Cover in Parameterized Linear Time
Manuel Caceres, Massimo Cairo, Brendan Mumey +2
A minimum path cover (MPC) of a directed acyclic graph (DAG) is a minimum-size set of paths that together cover all the vertices of the DAG. Computing an MPC is a basic…
Cut paths and their remainder structure, with applications
Massimo Cairo, Shahbaz Khan, Romeo Rizzi +3
In a strongly connected graph , a cut arc (also called strong bridge) is an arc whose removal makes the graph no longer strongly connected. Equivalently, there…
Minimum Flow Decomposition in Graphs with Cycles using Integer Linear Programming
Fernando H. C. Dias, Lucia Williams, Brendan Mumey +1
Minimum flow decomposition (MFD) -- the problem of finding a minimum set of weighted source-to-sink paths that perfectly decomposes a flow -- is a classical problem in Computer Sci…
Simplicity in Eulerian Circuits: Uniqueness and Safety
Nidia Obscura Acosta, Alexandru I. Tomescu
An Eulerian circuit in a directed graph is one of the most fundamental Graph Theory notions. Detecting if a graph has a unique Eulerian circuit can be done in polynomial time v…
Width Helps and Hinders Splitting Flows
Manuel Cáceres, Massimo Cairo, Andreas Grigorjew +5
Minimum flow decomposition (MFD) is the NP-hard problem of finding a smallest decomposition of a network flow/circulation on a directed graph into weighted source-to-sink p…
Safety and Completeness in Flow Decompositions for RNA Assembly
Shahbaz Khan, Milla Kortelainen, Manuel Cáceres +2
Decomposing a network flow into weighted paths has numerous applications. Some applications require any decomposition that is optimal w.r.t. some property such as number of paths,…