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CSJM
2007
60views more  CSJM 2007»
14 years 11 months ago
An edge colouring of multigraphs
We consider a strict k-colouring of a multigraph G as a surjection f from the vertex set of G into a set of colours {1,2,. . . ,k} such that, for every non-pendant vertex x of G, ...
Mario Gionfriddo, Alberto Amato
FOCS
2006
IEEE
15 years 5 months ago
Inclusion--Exclusion Algorithms for Counting Set Partitions
Given an n-element set U and a family of subsets S ⊆ 2U we show how to count the number of k-partitions S1 ∪ · · · ∪ Sk = U into subsets Si ∈ S in time 2nnO(1). The only...
Andreas Björklund, Thore Husfeldt
SWAT
1992
Springer
147views Algorithms» more  SWAT 1992»
15 years 3 months ago
Efficient Rebalancing of Chromatic Search Trees
In PODS'91, Nurmi and Soisalon-Soininen presented a new type of binary search tree for databases, which they call a chromatic tree. The aim is to improve runtime performance ...
Joan Boyar, Kim S. Larsen
JGAA
2007
104views more  JGAA 2007»
14 years 11 months ago
Bar k-Visibility Graphs
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one c...
Alice M. Dean, William Evans, Ellen Gethner, Joshu...
COMBINATORICS
2000
124views more  COMBINATORICS 2000»
14 years 11 months ago
Colouring Planar Mixed Hypergraphs
A mixed hypergraph is a triple H = (V, C, D) where V is the vertex set and C and D are families of subsets of V , the C-edges and D-edges, respectively. A k-colouring of H is a ma...
André Kündgen, Eric Mendelsohn, Vitaly...