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AAIM
2007
Springer
151views Algorithms» more  AAIM 2007»
14 years 5 months ago
Acyclic Edge Colouring of Outerplanar Graphs
An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
Rahul Muthu, N. Narayanan, C. R. Subramanian
AAIM
2007
Springer
127views Algorithms» more  AAIM 2007»
14 years 5 months ago
Approximating the Maximum Independent Set and Minimum Vertex Coloring on Box Graphs
Xin Han, Kazuo Iwama, Rolf Klein, Andrzej Lingas
AAIM
2007
Springer
145views Algorithms» more  AAIM 2007»
14 years 5 months ago
Improved Approximation Algorithms for Predicting RNA Secondary Structures with Arbitrary Pseudoknots
We study three closely related problems motivated by the prediction of RNA secondary structures with arbitrary pseudoknots: the MAXIMUM BASE PAIR STACKINGS problem proposed by Ieon...
Minghui Jiang
AAIM
2007
Springer
127views Algorithms» more  AAIM 2007»
14 years 5 months ago
An Improved Approximation Algorithm for Maximum Edge 2-Coloring in Simple Graphs
We present a polynomial-time approximation algorithm for legally coloring as many edges of a given simple graph as possible using two colors. It achieves an approximation ratio of...
Zhi-Zhong Chen, Ruka Tanahashi
AAECC
2007
Springer
143views Algorithms» more  AAECC 2007»
14 years 5 months ago
Constructions of Orthonormal Lattices and Quaternion Division Algebras for Totally Real Number Fields
Abstract. We describe some constructions of orthonormal lattices in totally real subfields of cyclotomic fields, obtained by endowing their ring of integers with a trace form. We...
B. A. Sethuraman, Frédérique E. Oggi...
AAECC
2007
Springer
85views Algorithms» more  AAECC 2007»
14 years 5 months ago
Distribution of Trace Values and Two-Weight, Self-orthogonal Codes over GF ( p , 2)
The uniform distribution of the trace map lends itself very well to the construction of binary and non-binary codes from Galois fields and Galois rings. In this paper we study the...
N. Pinnawala, A. Rao, T. Aaron Gulliver
AAECC
2007
Springer
105views Algorithms» more  AAECC 2007»
14 years 5 months ago
On Non-randomness of the Permutation After RC4 Key Scheduling
Abstract. Here we study a weakness of the RC4 Key Scheduling Algorithm (KSA) that has already been noted by Mantin and Mironov. Consider the RC4 permutation S of N (usually 256) by...
Goutam Paul, Subhamoy Maitra, Rohit Srivastava
AAECC
2007
Springer
133views Algorithms» more  AAECC 2007»
14 years 5 months ago
Linear Complexity and Autocorrelation of Prime Cube Sequences
Abstract. We review a binary sequence based on the generalized cyclotomy of order 2 with respect to p3 , where p is an odd prime. Linear complexities, minimal polynomials and autoc...
Young-Joon Kim, Seok-Yong Jin, Hong-Yeop Song
AAECC
2007
Springer
194views Algorithms» more  AAECC 2007»
14 years 5 months ago
Generalized Rotation Symmetric and Dihedral Symmetric Boolean Functions - 9 Variable Boolean Functions with Nonlinearity 242
Recently, 9-variable Boolean functions having nonlinearity 241, which is strictly greater than the bent concatenation bound of 240, have been discovered in the class of Rotation Sy...
Selçuk Kavut, Melek D. Yücel
AAECC
2007
Springer
118views Algorithms» more  AAECC 2007»
14 years 5 months ago
The "Art of Trellis Decoding" Is NP-Hard
Given a linear code C, the fundamental problem of trellis decoding is to find a coordinate permutation of C that yields a code C′ whose minimal trellis has the least state-compl...
Navin Kashyap