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» On Covering a Graph Optimally with Induced Subgraphs
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SODA
2004
ACM
128views Algorithms» more  SODA 2004»
15 years 3 months ago
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
IWPEC
2009
Springer
15 years 8 months ago
What Makes Equitable Connected Partition Easy
We study the Equitable Connected Partition problem, which is the problem of partitioning a graph into a given number of partitions, such that each partition induces a connected sub...
Rosa Enciso, Michael R. Fellows, Jiong Guo, Iyad A...
GECCO
2006
Springer
148views Optimization» more  GECCO 2006»
15 years 5 months ago
An effective genetic algorithm for the minimum-label spanning tree problem
Given a connected, undirected graph G with labeled edges, the minimum-label spanning tree problem seeks a spanning tree on G to whose edges are attached the smallest possible numb...
Jeremiah Nummela, Bryant A. Julstrom
GC
2007
Springer
15 years 1 months ago
Local Topological Toughness and Local Factors
We localize and strengthen Katona’s idea of an edge-toughness to a local topological toughness. We disprove a conjecture of Katona concerning the connection between edgetoughnes...
Frank Göring, Gyula Y. Katona