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COMBINATORICS
2007
79views more  COMBINATORICS 2007»
15 years 3 months ago
On the Spectrum of the Derangement Graph
We derive several interesting formulae for the eigenvalues of the derangement graph and use them to settle affirmatively a conjecture of Ku regarding the least eigenvalue.
Paul Renteln
COMBINATORICS
2007
87views more  COMBINATORICS 2007»
15 years 3 months ago
Recognizing Cluster Algebras of Finite Type
We compute the list of all minimal 2-infinite diagrams, which are cluster algebraic analogues of extended Dynkin graphs.
Ahmet I. Seven
COMBINATORICS
2007
50views more  COMBINATORICS 2007»
15 years 3 months ago
Perfect Dominating Sets in the Cartesian Products of Prime Cycles
We study the structure of a minimum dominating set of Cn 2n+1, the Cartesian product of n copies of the cycle of size 2n + 1, where 2n + 1 is a prime.
Hamed Hatami, Pooya Hatami
COMBINATORICS
2007
85views more  COMBINATORICS 2007»
15 years 3 months ago
Eigenvectors and Reconstruction
In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We also give new proofs of results of Godsil and McKay.
Hongyu He
155
Voted
DCC
2005
IEEE
16 years 2 months ago
The Combinatorics of Dom de Caen
We give an overview of some of the mathematical results of Dominique de Caen. These include a short proof of K?onig's theorem, results on Tur?an numbers, biclique partitions,...
Edwin R. van Dam