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» Quasi-random graphs with given degree sequences
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CPC
2008
157views more  CPC 2008»
13 years 4 months ago
The Critical Phase for Random Graphs with a Given Degree Sequence
Mihyun Kang, Taral Guldahl Seierstad
WAW
2009
Springer
150views Algorithms» more  WAW 2009»
13 years 12 months ago
The Giant Component in a Random Subgraph of a Given Graph
We consider a random subgraph Gp of a host graph G formed by retaining each edge of G with probability p. We address the question of determining the critical value p (as a function...
Fan Chung Graham, Paul Horn, Linyuan Lu
DAM
2008
145views more  DAM 2008»
13 years 5 months ago
Unicyclic and bicyclic graphs having minimum degree distance
In this paper characterizations of connected unicyclic and bicyclic graphs in terms of the degree sequence, as well as the graphs in these classes minimal with respect to the degr...
Alexandru Ioan Tomescu
APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
13 years 7 months ago
On the Degree Sequences of Random Outerplanar and Series-Parallel Graphs
In order to perform an average-case analysis for specific input distributions one needs to derive and understand properties of a 'typical' input instance. In the case of...
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...
JGT
2008
77views more  JGT 2008»
13 years 5 months ago
Graph classes characterized both by forbidden subgraphs and degree sequences
: Given a set F of graphs, a graph G is F-free if G does not contain any member of F as an induced subgraph. We say that F is a degree-sequence-forcing set if, for each graph G in ...
Michael D. Barrus, Mohit Kumbhat, Stephen G. Hartk...