## combinatorial

An additional constraint that is relevant to the design of DNA codes is that the free energies and enthalpies of the code words, and thus the melting temperatures, be similar. We describe dynamic programming algorithms that can a calculate the total number of words of length n whose free energy value, as approximated by a formula of Breslauer et al.

These algorithms are intended for use in heuristic algorithms for constructing DNA codes. Login to your account Username. Forgot password? Keep me logged in. New User. Change Password. Old Password. New Password. Password Changed Successfully Your password has been changed. Create a new account Email. Returning user.

## Combinatorial algorithms on words - Ghent University Library

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Forgot your username? Enter your email address below and we will send you your username. Journal of Computational Biology Vol. Amit Marathe Search for more papers by this author. Anne E. Condon Search for more papers by this author. Robert M. Corn Search for more papers by this author. Greedy construction of DNA codes and new bounds. Design of Geometric Molecular Bonds. Construction of DNA codes by using algebraic number theory.

### Mentioned In

On a generalization of lifted polynomials over finite fields and their applications to DNA codes. Generalizations of Code Languages with Marginal Errors. Properties of DNA. Improving the design of sequences for DNA computing: A multiobjective evolutionary approach. Deterministic polynomial-time algorithms for designing short DNA words.

Graph-theoretic formalization of hybridization in DNA sticker complexes. Pictorial Information Systems in Medicine. T Herman, G. Lodwick, and D. This format lends itself to the design of computer assisted Information systems Integrating data acquisition, presentation, communi cation and archiving for all modalities and users within a department or even a hospital. Advantages such as rapid access to any archived Image, synoptic presentation, computer assisted image analysis to name only a few, are expected.

Most of these disCiplines are represented by disjunct scientific communities. More related to combinatorics. Classic Papers in Combinatorics.

Ira Gessel. This volume surveys the development of combinatorics since by presenting in chronological order the fundamental results of the subject proved in over five decades of original papers by: T. Ford, Jr.

### Nearby Words

Theory of Finite and Infinite Graphs. To most graph theorists there are two outstanding landmarks in the history of their subject. One is Euler's solution of the Konigsberg Bridges Problem, dated , and the other is the appearance of Denes Konig's textbook in There were earlier books that took note of graph theory.

Veb len's Analysis Situs, published in , is about general combinato rial topology. But its first two chapters, on "Linear graphs" and "Two-Dimensional Complexes", are almost exclusively concerned with the territory still explored by graph theorists. Rouse Ball's Mathematical Recreations and Essays told, usually without proofs, of the major graph-theoretical advances ofthe nineteenth century, of the Five Colour Theorem, of Petersen's Theorem on I-factors, and of Cayley's enumerations of trees. It was Rouse Ball's book that kindled my own graph-theoretical enthusiasm.

The graph-theoretical papers of Hassler Whitney, published in , would have made an excellent textbook in English had they been collected and published as such. But the honour of presenting Graph Theory to the mathe matical world as a subject in its own right, with its own textbook, belongs to Denes Konig.

Low was the prestige of Graph Theory in the Dirty Thirties. It is still remembered, with resentment now shading into amuse ment, how one mathematician scorned it as "The slums of Topol ogy.

## Combinatorial Algorithms on Words

Problems and Theorems in Classical Set Theory. Peter Komjath. Although the? The invention of forcing produced a powerful, technically sophisticated tool for solving unsolvable problems.

Still, most results of the pre-Cohen era can be digested with just the knowledge of a commonsense introduction to the topic. And it is a worthy e? In this volume we o? Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come fromtheperiod,say,— Discrete mathematics, including combinatorial number theory and set theory has always been a stronghold of Hungarian mathematics.

The present volume honouring Vera Sos and Andras Hajnal contains survey articles with classical theorems and state-of-the-art results and cutting edge expository research papers with new theorems and proofs in the area of the classical Hungarian subjects, like extremal combinatorics, colorings, combinatorial number theory, etc. The open problems and the latest results in the papers inspire further research.

Alexander Soifer. This is a unique type of book; at least, I have never encountered a book of this kind. If this summary description does not help understanding the particular character and allure of the book, possibly a more detailed explanation will be found useful.

One of the primary goals of the author is to interest readers—in particular, young mathematiciansorpossiblypre-mathematicians—inthefascinatingworldofelegant and easily understandable problems, for which no particular mathematical kno- edge is necessary, but which are very far from being easily solved. In fact, the prototype of such problems is the following: If each point of the plane is to be given a color, how many colors do we need if every two points at unit distance are to receive distinct colors? More than half a century ago it was established that the least number of colors needed for such a coloring is either 4, or 5, or 6 or 7.

Well, which is it? Despite efforts by a legion of very bright people—many of whom developed whole branches of mathematics and solved problems that seemed much harder—not a single advance towards the answer has been made. This mystery, and scores of other similarly simple questions, form one level of mysteries explored. In doing this, the author presents a whole lot of attractive results in an engaging way, and with increasing level of depth.

Similar ebooks. Book 1. Major issues and new approaches in these interrelated areas were closely examined in the Workshop. In addition to paper presentations three discussion sessions were held on! This Proceedings volume includes most presentations made at the Workshop.

- Combinatorial algorithms on words.
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The publication, like the meeting itself, is unique in the sense that it provides exten sive interactions among the closely related areas stated above. Such interactions which usually result in the integration of different systems or approaches are certainly much needed to achieve some performance breakthrough while individual systems or approaches reach their performance limit. I am grateful to all participants for their active participation that makes the Workshop very productive, and to Dr. Lewis J. Lloyd and Dr. I am confident that this publication will be equally produc tive to report important current research results and near-future research activity particularly in underwater acoustic signal processing.

Pattern Matching Algorithms. Alberto Apostolico.