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» On connectivity of consecutive-d digraphs
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TCS
1998
15 years 1 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
15 years 8 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
15 years 7 months 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
15 years 7 months 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»
15 years 2 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 ...