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» Extending a matroid by a cocircuit
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EJC
2007
13 years 9 months ago
The structure of 3-connected matroids of path width three
A 3-connected matroid M is sequential or has path width 3 if its ground set E(M) has a sequential ordering, that is, an ordering (e1, e2, . . . , en) such that ({e1, e2, . . . , ek...
Rhiannon Hall, James G. Oxley, Charles Semple
EJC
2011
13 years 1 months ago
A Tutte-style proof of Brylawski's tensor product formula
We provide a new proof of Brylawski’s formula for the Tutte polynomial of the tensor product of two matroids. Our proof involves extending Tutte’s formula, expressing the Tutte...
Yuanan Diao, Gábor Hetyei, Kenneth Hinson
SIAMDM
2008
115views more  SIAMDM 2008»
13 years 9 months ago
Rank-Width and Well-Quasi-Ordering
Robertson and Seymour (1990) proved that graphs of bounded tree-width are well-quasi-ordered by the graph minor relation. By extending their arguments, Geelen, Gerards, and Whittle...
Sang-il Oum
SODA
2010
ACM
151views Algorithms» more  SODA 2010»
14 years 7 months ago
A Max-Flow/Min-Cut Algorithm for a Class of Wireless Networks
The linear deterministic model of relay channels is a generalization of the traditional directed network model which has become popular in the study of the flow of information ove...
S. M. Sadegh Tabatabaei Yazdi, Serap A. Savari
COMPGEOM
2004
ACM
14 years 3 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir