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» The Graphs with All Subgraphs T-Perfect
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GC
2011
Springer
13 years 2 months ago
Properly Edge-Coloured Subgraphs in Colourings of Bounded Degree
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
Klas Markström, Andrew Thomason, Peter Wagner...
DASFAA
2008
IEEE
188views Database» more  DASFAA 2008»
14 years 2 months ago
Summarization Graph Indexing: Beyond Frequent Structure-Based Approach
Graph is an important data structure to model complex structural data, such as chemical compounds, proteins, and XML documents. Among many graph data-based applications, sub-graph ...
Lei Zou, Lei Chen 0002, Huaming Zhang, Yansheng Lu...
SODA
1996
ACM
95views Algorithms» more  SODA 1996»
13 years 9 months ago
RNC Algorithms for the Uniform Generation of Combinatorial Structures
We describe several RNC algorithms for generating graphs and subgraphs uniformly at random. For example, unlabelled undirected graphs are generated in O(lg3 n) time using O n2 lg3...
Michele Zito, Ida Pu, Martyn Amos, Alan Gibbons
ISMM
2009
Springer
14 years 2 months ago
Some Morphological Operators in Graph Spaces
We study some basic morphological operators acting on the lattice of all subgraphs of a (non-weighted) graph G. To this end, we consider two dual adjunctions between the edge set a...
Jean Cousty, Laurent Najman, Jean Serra
EJC
2010
13 years 7 months ago
Bandwidth, expansion, treewidth, separators and universality for bounded-degree graphs
We establish relations between the bandwidth and the treewidth of bounded degree graphs G, and relate these parameters to the size of a separator of G as well as the size of an exp...
Julia Böttcher, Klaas P. Pruessmann, Anusch T...