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DM
1998
57views more  DM 1998»
13 years 6 months ago
Note on alternating directed cycles
The problem of the existence of an alternating simple dicycle in a 2-arc-coloured digraph is considered. This is a generalization of the alternating cycle problem in 2-edgecoloure...
Gregory Gutin, Benny Sudakov, Anders Yeo
IPL
2007
94views more  IPL 2007»
13 years 6 months ago
A note on emptiness for alternating finite automata with a one-letter alphabet
We present a new proof of PSPACE-hardness of the emptiness problem for alternating finite automata with a singleton alphabet. This result was shown by Holzer (1995) who used a pr...
Petr Jancar, Zdenek Sawa
CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 6 months ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin
FOCS
2003
IEEE
13 years 11 months ago
Approximation Algorithms for Asymmetric TSP by Decomposing Directed Regular Multigraphs
A directed multigraph is said to be d-regular if the indegree and outdegree of every vertex is exactly d. By Hall’s theorem one can represent such a multigraph as a combination ...
Haim Kaplan, Moshe Lewenstein, Nira Shafrir, Maxim...
MICS
2007
84views more  MICS 2007»
13 years 5 months ago
Pseudospectra of Matrix Polynomials that Are Expressed in Alternative Bases
Spectra and pseudospectra of matrix polynomials are of interest in geometric intersection problems, vibration problems, and analysis of dynamical systems. In this note we consider ...
Robert M. Corless, Nargol Rezvani, Amirhossein Ami...