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» On connectivity of consecutive-d digraphs
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TCS
1998
13 years 7 months ago
Conflict-Free Channel Set Assignment for an Optical Cluster Interconnection Network Based on Rotator Digraphs
Recently a class of scalable multi-star optical networks is proposed in [2]. In this class of networks nodes are grouped into clusters. Each cluster employs a separate pair of bro...
Peng-Jun Wan
IEEEARES
2006
IEEE
14 years 1 months ago
Application of the Digraph Method in System Fault Diagnostics
There is an increasing demand for highly reliable systems in the safety conscious climate of today’s world. When a fault does occur there are two desirable outcomes. Firstly, de...
E. M. Kelly, L. M. Bartlett
MFCS
2004
Springer
14 years 26 days ago
Generating Paths and Cuts in Multi-pole (Di)graphs
Let G = (V, E) be a (directed) graph with vertex set V and edge (arc) set E. Given a set P of (source-sink) pairs of vertices of G, an important problem that arises in the computat...
Endre Boros, Khaled M. Elbassioni, Vladimir Gurvic...
COCOON
2003
Springer
14 years 22 days ago
The Complexity of Boolean Matrix Root Computation
Abstract. We show that finding roots of Boolean matrices is an NPhard problem. This answers a twenty year old question from semigroup theory. Interpreting Boolean matrices as dire...
Martin Kutz
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 7 months ago
Spanning directed trees with many leaves
The Directed Maximum Leaf Out-Branching problem is to find an out-branching (i.e. a rooted oriented spanning tree) in a given digraph with the maximum number of leaves. In this pap...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...