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» Packing vertices and edges in random regular graphs
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SOFSEM
2007
Springer
14 years 1 months ago
Competitive Maintenance of Minimum Spanning Trees in Dynamic Graphs
Abstract. We consider the problem of maintaining a minimum spanning tree within a graph with dynamically changing edge weights. An online algorithm is confronted with an input sequ...
Miroslaw Dynia, Miroslaw Korzeniowski, Jaroslaw Ku...
GD
2003
Springer
14 years 26 days ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov
JGT
2007
112views more  JGT 2007»
13 years 7 months ago
The 2-dimensional rigidity of certain families of graphs
Laman’s characterization of minimally rigid 2-dimensional generic frameworks gives a matroid structure on the edge set of the underlying graph, as was first pointed out and expl...
Bill Jackson, Brigitte Servatius, Herman Servatius
RSA
2002
87views more  RSA 2002»
13 years 7 months ago
Inexpensive d-dimensional matchings
: Suppose that independent U 0 1 weights are assigned to the d 2 n2 edges of the complete d-partite graph with n vertices in each of the d = maximal independent sets. Then the expe...
Bae-Shi Huang, Ljubomir Perkovic, Eric Schmutz
TAMC
2010
Springer
14 years 21 days ago
Community Structure in Large Complex Networks
In this paper, we establish the definition of community fundamentally different from what was commonly accepted in previous studies, where communities were typically assumed to ...
Liaoruo Wang, John E. Hopcroft