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» On Bounds for the k-Partitioning of Graphs
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COCOON
2007
Springer
16 years 17 days ago
On the Number of Cycles in Planar Graphs
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...
Kevin Buchin, Christian Knauer, Klaus Kriegel, And...
AUTOMATICA
2004
147views more  AUTOMATICA 2004»
15 years 6 months ago
Interval analysis and dioid: application to robust controller design for timed event graphs
This paper deals with feedback controller synthesis for timed event graphs in dioids, where the number of initial tokens and time delays are only known to belong to intervals. We ...
Mehdi Lhommeau, Laurent Hardouin, Bertrand Cottenc...
COMBINATORICS
2006
130views more  COMBINATORICS 2006»
15 years 6 months ago
Fractional Biclique Covers and Partitions of Graphs
A biclique is a complete bipartite subgraph of a graph. This paper investigates the fractional biclique cover number, bc(G), and the fractional biclique partition number, bp(G), o...
Valerie L. Watts
DM
2006
134views more  DM 2006»
15 years 6 months ago
Simultaneous graph parameters: Factor domination and factor total domination
Let F1, F2, . . . , Fk be graphs with the same vertex set V . A subset S V is a factor dominating set if in every Fi every vertex not in S is adjacent to a vertex in S, and a fac...
Peter Dankelmann, Michael A. Henning, Wayne Goddar...
COCO
2009
Springer
105views Algorithms» more  COCO 2009»
16 years 29 days ago
Planar Graph Isomorphism is in Log-Space
Graph Isomorphism is the prime example of a computational problem with a wide difference between the best known lower and upper bounds on its complexity. There is a significant ...
Samir Datta, Nutan Limaye, Prajakta Nimbhorkar, Th...