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This paper presents a method for the synthesis of a one-dimensional linear hybrid cellula from a given irreducible polynomial. A detailed description of the algorithm is given, toget the theoretical background. It is shown that two CA exist for each irreducible polynomial, open CA existence conjecture. An in-depth example of the synthesis is presented,(More)
Many applications call for exhaustive lists of strings subject to various constraints , such as inequivalence under group actions. A k-ary necklace is an Ž. equivalence class of k-ary strings under rotation the cyclic group. A k-ary unlabeled necklace is an equivalence class of k-ary strings under rotation and permutation of alphabet symbols. We present(More)
The paper studies theoretical aspects of one dimensional linear hybrid cellular automata field. General results concerning the characteristic polynomials of such automata are pre synthesis algorithm for determining such a linear hybrid cellular automaton with a specific polynomial is given, along with empirical results and a theoretical analysis. Cyclic(More)
Finite obstruction sets for lower ideals in the minor order are guaranteed to exist by the Graph Minor Theorem. It has been known for several years that, in principle, obstruction sets can be mechanically computed for most natural lower ideals. In this paper, we describe a general-purpose method for nding obstructions by using a bounded treewidth (or(More)
We described a simple algorithm running in linear time for each fixed constant, k, that either establishes that the pathwidth of a graph G is greater than k, or finds a path-decomposition of G of width at most O(zk). This provides a simple proof of the result by Bodlaender that many families of graphs of bounded pathwidth can be recognized in linear time.
The increasing use of linear hybrid cellular automata LHCA in VLSI design and test and other applications for such purposes as pseudo random pattern generation has made it important for users to understand their design, use and properties. In this tutorial paper, the background for cellular automata is explained, and a recent synthesis algorithm with low(More)
The searching of protein databases as a method of identifying newly sequenced genes is commonplace in molecular biology laboratories. However, it is a procedure that is not usually formally taught to students, and method cookbooks discuss it only briefly. This article uses a single family of highly diverged uracil-DNA glycosylases, which fall into two(More)