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JGT
2010
113views more  JGT 2010»
14 years 11 months ago
Crossing numbers of imbalanced graphs
The crossing number, cr(G), of a graph G is the least number of crossing points in any drawing of G in the plane. According to the Crossing Lemma of Ajtai, Chv´atal, Newborn, Sze...
János Pach, József Solymosi, G&aacut...
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 3 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
15 years 6 months ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
75
Voted
ISSAC
2004
Springer
71views Mathematics» more  ISSAC 2004»
15 years 6 months ago
Sharp estimates for triangular sets
We study the triangular representation of zero-dimensional varieties defined over the rational field (resp. a rational function field). We prove polynomial bounds in terms of i...
Xavier Dahan, Éric Schost
113
Voted
PE
2010
Springer
144views Optimization» more  PE 2010»
14 years 11 months ago
Capacity scaling of large wireless networks with heterogeneous clusters
We analyze the capacity scaling laws of wireless networks where the spatial distribution of nodes over the network area exhibits a high degree of clustering. In particular we cons...
Valentina Martina, Michele Garetto, Emilio Leonard...