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» Vertices of given degree in series-parallel graphs
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COMBINATORICS
2006
89views more  COMBINATORICS 2006»
13 years 7 months ago
Rainbow H-factors
An H-factor of a graph G is a spanning subgraph of G whose connected components are isomorphic to H. Given a properly edge-colored graph G, a rainbow H-subgraph of G is an H-subgr...
Raphael Yuster
SIAMDM
2010
114views more  SIAMDM 2010»
13 years 6 months ago
Rank-Based Attachment Leads to Power Law Graphs
Abstract. We investigate the degree distribution resulting from graph generation models based on rank-based attachment. In rank-based attachment, all vertices are ranked according ...
Jeannette Janssen, Pawel Pralat
WG
2005
Springer
14 years 1 months ago
Approximation Algorithms for the Weighted Independent Set Problem
In unweighted case, approximation ratio for the independent set problem has been analyzed in terms of the graph parameters, such as the number of vertices, maximum degree, and aver...
Akihisa Kako, Takao Ono, Tomio Hirata, Magnú...
DM
2007
93views more  DM 2007»
13 years 7 months ago
Small subgraphs of random regular graphs
The main aim of this short paper is to answer the following question. Given a fixed graph H, for which values of the degree d does a random d-regular graph on n vertices contain ...
Jeong Han Kim, Benny Sudakov, Van H. Vu
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
11 years 10 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...