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COMBINATORICA
2007
117views more  COMBINATORICA 2007»
13 years 4 months ago
Embedding nearly-spanning bounded degree trees
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
Noga Alon, Michael Krivelevich, Benny Sudakov
SIAMDM
2010
110views more  SIAMDM 2010»
12 years 11 months ago
Embedding Spanning Trees in Random Graphs
We prove that if T is a tree on n vertices with maximum degree and the edge probability p(n) satisfies: np C max{ log n, n } for some constant > 0, then with high probability...
Michael Krivelevich
SWAT
1994
Springer
86views Algorithms» more  SWAT 1994»
13 years 9 months ago
Sequential and Parallel Algorithms for Embedding Problems on Classes of Partial k-Trees
We present sequential and parallel algorithms for various embedding problems on bounded degree partial k-trees and k-connected partial k-trees these include subgraph isomorphism a...
Arvind Gupta, Naomi Nishimura
WG
1999
Springer
13 years 9 months ago
Finding Smallest Supertrees Under Minor Containment
The diversity of application areas relying on tree-structured data results in wide interest in algorithms which determine differences or similarities among trees. One way of meas...
Naomi Nishimura, Prabhakar Ragde, Dimitrios M. Thi...
RSA
2011
126views more  RSA 2011»
12 years 11 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...