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CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 10 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
FOCS
2003
IEEE
14 years 3 months ago
On Certain Connectivity Properties of the Internet Topology
We show that random graphs in the preferential connectivity model have constant conductance, and hence have worst-case routing congestion that scales logarithmically with the numb...
Milena Mihail, Christos H. Papadimitriou, Amin Sab...
ENDM
2007
114views more  ENDM 2007»
13 years 10 months ago
The Connectivity of addition Cayley graphs
For any finite abelian group G and any subset S ⊆ G, we determine the connectivity of the addition Cayley graph induced by S on G. Moreover, we show that if this graph is not c...
David J. Grynkiewicz, Vsevolod F. Lev, Oriol Serra
SCN
2008
Springer
128views Communications» more  SCN 2008»
13 years 10 months ago
On Linear Secret Sharing for Connectivity in Directed Graphs
In this work we study linear secret sharing schemes for s-t connectivity in directed graphs. In such schemes the parties are edges of a complete directed graph, and a set of partie...
Amos Beimel, Anat Paskin
APPROX
2005
Springer
96views Algorithms» more  APPROX 2005»
14 years 3 months ago
Derandomized Squaring of Graphs
We introduce a “derandomized” analogue of graph squaring. This operation increases the connectivity of the graph (as measured by the second eigenvalue) almost as well as squar...
Eyal Rozenman, Salil P. Vadhan