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» The Complexity of Graph Connectivity
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COMPGEOM
2010
ACM
15 years 12 months ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...
ESA
2008
Springer
127views Algorithms» more  ESA 2008»
15 years 8 months ago
The Alcuin Number of a Graph
We consider a planning problem that generalizes Alcuin's river crossing problem (also known as: The wolf, goat, and cabbage puzzle) to scenarios with arbitrary conflict graph...
Péter Csorba, Cor A. J. Hurkens, Gerhard J....
MST
2008
141views more  MST 2008»
15 years 6 months ago
From a Zoo to a Zoology: Towards a General Theory of Graph Polynomials
Abstract. We outline a general theory of graph polynomials which covers all the examples we found in the vast literature, in particular, the chromatic polynomial, various generaliz...
Johann A. Makowsky
RSA
2000
112views more  RSA 2000»
15 years 6 months ago
Growth of components in random graphs
The creation and growth of components of a given complexity in a random graph process are studied. In particular, the expected number and total size of all such components is found...
Svante Janson
PPAM
2001
Springer
15 years 11 months ago
Dedicated Scheduling of Biprocessor Tasks to Minimize Mean Flow Time
Abstract. This paper investigates the complexity of scheduling biprocessor tasks on dedicated processors to minimize mean flow time. Since the general problem is strongly NP-hard,...
Krzysztof Giaro, Marek Kubale, Michal Malafiejski,...