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» Packing vertices and edges in random regular graphs
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SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 9 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
ICALP
2003
Springer
14 years 27 days ago
Generating Labeled Planar Graphs Uniformly at Random
Abstract. We present an expected polynomial time algorithm to generate a labeled planar graph uniformly at random. To generate the planar graphs, we derive recurrence formulas that...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
CORR
2010
Springer
106views Education» more  CORR 2010»
13 years 7 months ago
Lombardi Drawings of Graphs
We introduce the notion of Lombardi graph drawings, named after the abstract artist Mark Lombardi. In these drawings, edges are represented as circular arcs rather than as line seg...
Christian A. Duncan, David Eppstein, Michael T. Go...
COLT
2004
Springer
14 years 1 months ago
Learning a Hidden Graph Using O(log n) Queries Per Edge
We consider the problem of learning a general graph using edge-detecting queries. In this model, the learner may query whether a set of vertices induces an edge of the hidden grap...
Dana Angluin, Jiang Chen
EJC
2006
13 years 7 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer