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CPC
2006
132views more  CPC 2006»
15 years 1 months ago
Duality in Infinite Graphs
The adaption of combinatorial duality to infinite graphs has been hampered by the fact that while cuts (or cocycles) can be infinite, cycles are finite. We show that these obstruc...
Henning Bruhn, Reinhard Diestel
CPM
2010
Springer
145views Combinatorics» more  CPM 2010»
14 years 8 months ago
Succinct Representations of Separable Graphs
Abstract. We consider the problem of highly space-efficient representation of separable graphs while supporting queries in constant time in the RAM with logarithmic word size. In p...
Guy E. Blelloch, Arash Farzan
ARSCOM
2007
191views more  ARSCOM 2007»
15 years 1 months ago
Binomial Identities Generated by Counting Spanning Trees
We partition the set of spanning trees contained in the complete graph Kn into spanning trees contained in the complete bipartite graph Ks,t. This relation will show that any prop...
Thomas Dale Porter
DM
2008
83views more  DM 2008»
15 years 1 months ago
The polynomial degrees of Grassmann and Segre varieties over GF(2)
A recent proof that the Grassmannian G1;n;2 of lines of PG(n; 2) has polynomial degree n 2 1 is outlined, and is shown to yield a theorem about certain kinds of subgraphs of any (...
R. Shaw
DM
2008
95views more  DM 2008»
15 years 1 months ago
Forbidden subgraphs and the existence of paths and cycles passing through specified vertices
In [2], Duffus et al. showed that every connected graph G which contains no induced subgraph isomorphic to a claw or a net is traceable. And they also showed that if a 2-connected...
Jun Fujisawa, Katsuhiro Ota, Takeshi Sugiyama, Mas...