Book Rectangle-Visibility Representation of Products of Graphs PDF Free

Rectangle-Visibility Representation of Products of Graphs PDF
By:Valentina Ocloo
Published on 2018-01-15 by GRIN Verlag

Thesis (M.A.) from the year 2017 in the subject Mathematics - Applied Mathematics, grade: 80.0, Kwame Nkrumah University of Science and Technology (AIMS-GH), course: M.Sc Mathematical Sciences, language: English, abstract: Visibility representation of a graph is a way of assigning the vertices of a graph to objects in a plane and the edges of the graph representing the positioning of the objects in such a way that they see one another. In this work, we consider representations of products of some classes of graphs as rectangle-visibility graphs (RVGs), i.e, graphs whose vertices are rectangles in the plane and edges are horizontal or vertical visibility. We focus on three types of graph products namely: cartesian, direct and strong products. We also investigate representations of products of some classes of graphs such as path, cycle with path, star with path and complete graphs that are RVGs. Furthermore, we discuss why some complete graphs are not RVGs. The results obtained are established by constructive proofs and yield linear-time layout.

This Book was ranked at 21 by Google Books for keyword Valentina.

Book ID of Rectangle-Visibility Representation of Products of Graphs's Books is kh1HDwAAQBAJ, Book which was written byValentina Ocloohave ETAG "FCVclq6JHHM"

Book which was published by GRIN Verlag since 2018-01-15 have ISBNs, ISBN 13 Code is 9783668612228 and ISBN 10 Code is 3668612226

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Book Artificial Intelligence in Recognition and Classification of Astrophysical and Medical Images PDF Free

Artificial Intelligence in Recognition and Classification of Astrophysical and Medical Images PDF
By:Valentina Zharkova
Published on 2007-04-06 by Springer

This book presents innovative techniques in recognition and classification of astrophysical and medical images. Coverage includes: image standardization and enhancement; region-based methods for pattern recognition in medical and astrophysical images; advanced information processing using statistical methods; and feature recognition and classification using spectral method.

This Book was ranked at 11 by Google Books for keyword Valentina.

Book ID of Artificial Intelligence in Recognition and Classification of Astrophysical and Medical Images's Books is R65qCQAAQBAJ, Book which was written byValentina Zharkovahave ETAG "p7cLHSgOTOI"

Book which was published by Springer since 2007-04-06 have ISBNs, ISBN 13 Code is 9783540475187 and ISBN 10 Code is 3540475184

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Book Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains PDF Free

Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains PDF
By:Valentina Barucci,David E. Dobbs,Marco Fontana
Published on 1997 by American Mathematical Soc.

If $k$ is a field, $T$ an analytic indeterminate over $k$, and $n_1, \\ldots, n_h$ are natural numbers, then the semigroup ring $A = k[[T^{n_1}, \\ldots, T^{n_h}]]$ is a Noetherian local one-dimensional domain whose integral closure, $k[[T]]$, is a finitely generated $A$-module. There is clearly a close connection between $A$ and the numerical semigroup generated by $n_1, \\ldots, n_h$. More generally, let $A$ be a Noetherian local domain which is analytically irreducible and one-dimensional (equivalently, whose integral closure $V$ is a DVR and a finitely generated $A$-module). As noted by Kunz in 1970, some algebraic properties of $A$ such as ``Gorenstein'' can be characterized by using the numerical semigroup of $A$ (i.e., the subset of $N$ consisting of all the images of nonzero elements of $A$ under the valuation associated to $V$ ). This book's main purpose is to deepen the semigroup-theoretic approach in studying rings A of the above kind, thereby enlarging the class of applications well beyond semigroup rings. For this reason, Chapter I is devoted to introducing several new semigroup-theoretic properties which are analogous to various classical ring-theoretic concepts. Then, in Chapter II, the earlier material is applied in systematically studying rings $A$ of the above type. As the authors examine the connections between semigroup-theoretic properties and the correspondingly named ring-theoretic properties, there are some perfect characterizations (symmetric $\\Leftrightarrow$ Gorenstein; pseudo-symmetric $\\Leftrightarrow$ Kunz, a new class of domains of Cohen-Macaulay type 2). However, some of the semigroup properties (such as ``Arf'' and ``maximal embedding dimension'') do not, by themselves, characterize the corresponding ring properties. To forge such characterizations, one also needs to compare the semigroup- and ring-theoretic notions of ``type''. For this reason, the book introduces and extensively uses ``type sequences'' in both the semigroup and the ring contexts.

This Book was ranked at 7 by Google Books for keyword Valentina.

Book ID of Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains's Books is DwEEtgEACAAJ, Book which was written byValentina Barucci,David E. Dobbs,Marco Fontanahave ETAG "r+hJXDY7dAc"

Book which was published by American Mathematical Soc. since 1997 have ISBNs, ISBN 13 Code is 9780821805442 and ISBN 10 Code is 0821805444

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Book Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains PDF Free

Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains PDF
By:Valentina Barucci,David E. Dobbs,Marco Fontana
Published on 1997 by American Mathematical Soc.

If $k$ is a field, $T$ an analytic indeterminate over $k$, and $n_1, \\ldots, n_h$ are natural numbers, then the semigroup ring $A = k[[T^{n_1}, \\ldots, T^{n_h}]]$ is a Noetherian local one-dimensional domain whose integral closure, $k[[T]]$, is a finitely generated $A$-module. There is clearly a close connection between $A$ and the numerical semigroup generated by $n_1, \\ldots, n_h$. More generally, let $A$ be a Noetherian local domain which is analytically irreducible and one-dimensional (equivalently, whose integral closure $V$ is a DVR and a finitely generated $A$-module). As noted by Kunz in 1970, some algebraic properties of $A$ such as ``Gorenstein'' can be characterized by using the numerical semigroup of $A$ (i.e., the subset of $N$ consisting of all the images of nonzero elements of $A$ under the valuation associated to $V$ ). This book's main purpose is to deepen the semigroup-theoretic approach in studying rings A of the above kind, thereby enlarging the class of applications well beyond semigroup rings. For this reason, Chapter I is devoted to introducing several new semigroup-theoretic properties which are analogous to various classical ring-theoretic concepts. Then, in Chapter II, the earlier material is applied in systematically studying rings $A$ of the above type. As the authors examine the connections between semigroup-theoretic properties and the correspondingly named ring-theoretic properties, there are some perfect characterizations (symmetric $\\Leftrightarrow$ Gorenstein; pseudo-symmetric $\\Leftrightarrow$ Kunz, a new class of domains of Cohen-Macaulay type 2). However, some of the semigroup properties (such as ``Arf'' and ``maximal embedding dimension'') do not, by themselves, characterize the corresponding ring properties. To forge such characterizations, one also needs to compare the semigroup- and ring-theoretic notions of ``type''. For this reason, the book introduces and extensively uses ``type sequences'' in both the semigroup and the ring contexts.

This Book was ranked at 9 by Google Books for keyword Valentina.

Book ID of Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains's Books is YoDTCQAAQBAJ, Book which was written byValentina Barucci,David E. Dobbs,Marco Fontanahave ETAG "y6DDVa5AHvM"

Book which was published by American Mathematical Soc. since 1997 have ISBNs, ISBN 13 Code is 9780821805442 and ISBN 10 Code is 0821805444

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Book Definability and Computability PDF Free

Definability and Computability PDF
By:I͡Uriĭ Leonidovich Ershov
Published on 1996-04-30 by Springer Science & Business Media

In this book, Yurii L. Ershov posits the view that computability-in the broadest sense-can be regarded as the Sigma-definability in the suitable sets. He presents a new approach to providing the Gödel incompleteness theorem based on systematic use of the formulas with the restricted quantifiers. The volume also includes a novel exposition on the foundations of the theory of admissible sets with urelements, using the Gandy theorem throughout the theory's development. Other topics discussed are forcing, Sigma-definability, dynamic logic, and Sigma-predicates of finite types.

This Book was ranked at 37 by Google Books for keyword Valentina.

Book ID of Definability and Computability's Books is jVFF36NTLHYC, Book which was written byI͡Uriĭ Leonidovich Ershovhave ETAG "WX8/eHU9XcU"

Book which was published by Springer Science & Business Media since 1996-04-30 have ISBNs, ISBN 13 Code is 9780306110399 and ISBN 10 Code is 0306110393

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