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COMPGEOM
2010
ACM
15 years 9 months ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar
SODA
2004
ACM
93views Algorithms» more  SODA 2004»
15 years 5 months ago
Bipartite roots of graphs
Graph H is a root of graph G if there exists a positive integer k such that x and y are adjacent in G if and only if their distance in H is at most k. Motwani and Sudan [1994] prov...
Lap Chi Lau
MST
2010
98views more  MST 2010»
15 years 2 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
ADC
2008
Springer
110views Database» more  ADC 2008»
15 years 10 months ago
Graph Mining based on a Data Partitioning Approach
Existing graph mining algorithms typically assume that the dataset can fit into main memory. As many large graph datasets cannot satisfy this condition, truly scalable graph minin...
Son N. Nguyen, Maria E. Orlowska, Xue Li
CINQ
2004
Springer
182views Database» more  CINQ 2004»
15 years 7 months ago
Mining Constrained Graphs: The Case of Workflow Systems
Abstract. Constrained graphs are directed graphs describing the control flow of processes models. In such graphs, nodes represent activities involved in the process, and edges the ...
Gianluigi Greco, Antonella Guzzo, Giuseppe Manco, ...