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» Vertex reconstruction in Cayley graphs
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COMBINATORICS
2000
120views more  COMBINATORICS 2000»
13 years 5 months ago
The Characteristic Polynomial of a Graph is Reconstructible from the Characteristic Polynomials of its Vertex-Deleted Subgraphs
The question of whether the characteristic polynomial of a simple graph is uniquely determined by the characteristic polynomials of its vertex-deleted subgraphs is one of the many...
Elias M. Hagos
STOC
1993
ACM
109views Algorithms» more  STOC 1993»
13 years 9 months ago
Routing permutations on graphs via matchings
We consider a class of routing problems on connected graphs G. Initially, each vertex v of G is occupied by a “pebble” which has a unique destination π(v) in G (so that π is...
Noga Alon, Fan R. K. Chung, Ronald L. Graham
DM
2010
107views more  DM 2010»
13 years 5 months ago
Degree-associated reconstruction number of graphs
A card of a graph G is a subgraph formed by deleting one vertex. The Reconstruction Conjecture states that each graph with at least three vertices is determined by its multiset of...
Michael D. Barrus, Douglas B. West
FOCS
2008
IEEE
13 years 12 months ago
Noise Tolerance of Expanders and Sublinear Expander Reconstruction
We consider the problem of online sublinear expander reconstruction and its relation to random walks in “noisy” expanders. Given access to an adjacency list representation of ...
Satyen Kale, Yuval Peres, C. Seshadhri
SIAMDM
2008
79views more  SIAMDM 2008»
13 years 5 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...