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CSJM
2007
60views more  CSJM 2007»
13 years 7 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
14 years 1 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»
13 years 11 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»
13 years 7 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»
13 years 7 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...