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Gray Code for Cayley Permutations
 COMPUTER SCIENCE JOURNAL OF MOLDOVA, VOL.11, NO.2(32), 2003
, 2003
"... A lengthn Cayley permutation p of a total ordered set S is a lengthn sequence of elements from S, subject to the condition that if an element x appears in p then all elements y < x also appear in p. In this paper, we give a Gray code list for the set of lengthn Cayley permutations. Two success ..."
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Cited by 3 (0 self)
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A lengthn Cayley permutation p of a total ordered set S is a lengthn sequence of elements from S, subject to the condition that if an element x appears in p then all elements y < x also appear in p. In this paper, we give a Gray code list for the set of lengthn Cayley permutations. Two
Statistical mechanics of complex networks
 Rev. Mod. Phys
"... Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical links. While traditionally these systems were modeled as ra ..."
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Cited by 2083 (10 self)
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Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical links. While traditionally these systems were modeled as random graphs, it is increasingly recognized that the topology and evolution of real
Using Linear Algebra for Intelligent Information Retrieval
 SIAM REVIEW
, 1995
"... Currently, most approaches to retrieving textual materials from scientific databases depend on a lexical match between words in users' requests and those in or assigned to documents in a database. Because of the tremendous diversity in the words people use to describe the same document, lexical ..."
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Cited by 672 (18 self)
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Currently, most approaches to retrieving textual materials from scientific databases depend on a lexical match between words in users' requests and those in or assigned to documents in a database. Because of the tremendous diversity in the words people use to describe the same document, lexical methods are necessarily incomplete and imprecise. Using the singular value decomposition (SVD), one can take advantage of the implicit higherorder structure in the association of terms with documents by determining the SVD of large sparse term by document matrices. Terms and documents represented by 200300 of the largest singular vectors are then matched against user queries. We call this retrieval method Latent Semantic Indexing (LSI) because the subspace represents important associative relationships between terms and documents that are not evident in individual documents. LSI is a completely automatic yet intelligent indexing method, widely applicable, and a promising way to improve users...
Synchronization and linearity: an algebra for discrete event systems
, 2001
"... The first edition of this book was published in 1992 by Wiley (ISBN 0 471 93609 X). Since this book is now out of print, and to answer the request of several colleagues, the authors have decided to make it available freely on the Web, while retaining the copyright, for the benefit of the scientific ..."
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Cited by 369 (11 self)
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The first edition of this book was published in 1992 by Wiley (ISBN 0 471 93609 X). Since this book is now out of print, and to answer the request of several colleagues, the authors have decided to make it available freely on the Web, while retaining the copyright, for the benefit of the scientific community. Copyright Statement This electronic document is in PDF format. One needs Acrobat Reader (available freely for most platforms from the Adobe web site) to benefit from the full interactive machinery: using the package hyperref by Sebastian Rahtz, the table of contents and all LATEX crossreferences are automatically converted into clickable hyperlinks, bookmarks are generated automatically, etc.. So, do not hesitate to click on references to equation or section numbers, on items of thetableofcontents and of the index, etc.. One may freely use and print this document for one’s own purpose or even distribute it freely, but not commercially, provided it is distributed in its entirety and without modifications, including this preface and copyright statement. Any use of thecontents should be acknowledged according to the standard scientific practice. The
Cayley Graphs and Interconnection Networks
, 1997
"... In this report, we will focus on routing problems including connectivity, diameter and loads of routings. We place the emphasis on load problems, since new classes of vertextransitive graphs (see quasiCayley graphs in Section 5.3) or edgetransitive graphs (see regular orbital graphs in Section 5. ..."
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Cited by 72 (3 self)
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In this report, we will focus on routing problems including connectivity, diameter and loads of routings. We place the emphasis on load problems, since new classes of vertextransitive graphs (see quasiCayley graphs in Section 5.3) or edgetransitive graphs (see regular orbital graphs in Section 5
Estimation of Planar Curves, Surfaces, and Nonplanar Space Curves Defined by Implicit Equations with Applications to Edge and Range Image Segmentation
, 1991
"... This paper addresses the problem of parametric representation and estimation of complex planar curves in 2D, surfaces in 3D and nonplanar space curves in 3D. Curves and surfaces can be defined either parametrically or implicitly, and we use the latter representation. A planar curve is the set o ..."
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Cited by 307 (2 self)
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This paper addresses the problem of parametric representation and estimation of complex planar curves in 2D, surfaces in 3D and nonplanar space curves in 3D. Curves and surfaces can be defined either parametrically or implicitly, and we use the latter representation. A planar curve is the set of zeros of a smooth function of two variables XY, a surface is the set of zeros of a smooth function of three variables X~Z, and a space curve is the intersection of two surfaces, which are the set of zeros of two linearly independent smooth functions of three variables X!/Z. For example, the surface of a complex object in 3D can be represented as a subset of a single implicit surface, with similar results for planar and space curves. We show how this unified representation can be used for object recognition, object position estimation, and segmentation of objects into meaningful subobjects, that is, the detection of “interest regions ” that are
Permutation Routing via Cayley graphs with an Example for Bus Interconnection Networks
 IN PROCEEDINGS OF DIMACS WORKSHOP ON INTERCONNECTION NETWORKS AND MAPPING AND SCHEDULING PARALLEL COMPUTATIONS, DIMACS SERIES IN DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
, 1994
"... Cayley graphs have been used extensively to design interconnection networks and provide a natural setting for studying pointtopoint routing [1, 2, 3, 5, 6, 7, 12]. The extension of these techniques to the more important problem of permutation routing on interconnection networks presents fundamen ..."
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Cited by 1 (1 self)
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Cayley graphs have been used extensively to design interconnection networks and provide a natural setting for studying pointtopoint routing [1, 2, 3, 5, 6, 7, 12]. The extension of these techniques to the more important problem of permutation routing on interconnection networks presents
Results 1  10
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