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On Coloring of Sparse Graphs
Graph coloring has numerous applications and is a well-known NP-complete problem. The goal of this paper is to survey recent results of the authors... -
Optimal constant weight covering codes and nonuniform group divisible 3-designs with block size four
Let K q ( n , w , t , d ) be the minimum size of a code over Z q of length n , constant weight w , such that every word with weight t is within Hamming...
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Adjacency matrices of polarity graphs and of other C 4-free graphs of large size
In this paper we give a method for obtaining the adjacency matrix of a simple polarity graph G q from a projective plane PG (2, q ), where q is a prime...
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Forbidden (0,1)-vectors in Hyperplanes of \(\mathbb{R}^{n}\): The unrestricted case
In this paper, we continue our investigation on “Extremal problems under dimension constraints” introduced [1]. The general problem we deal with in...
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Forbidden (0,1)-Vectors in Hyperplanes of ℝ n : The Restricted Case
In this paper we continue our investigation on “Extremal problems under dimension constraint” introduced in [2].
Let E ( n , k ) be the set of...
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An orthogonal systolic array for the algebraic path problem
This paper is devoted to the design of an orthogonal systolic array of n ( n +1) elementary processors which can solve any instance of the Algebraic Path...
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A systolic array algorithm for the algebraic path problem (shortest paths; Matrix inversion)
It is shown how the Gauß-Jordan Elimination algorithm for the Algebraic Path Problem can be implemented on a hexagonal systolic array of a quadratic...