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 #  AuthorTitleAccn#YearItem Type Claims
1 Rosenberg, Ivo G Algebras and Orders I05135 1993 eBook  
2 Hahn, Gena Cycles and Rays I03556 1990 eBook  
3 Hahn, Gena Graph Symmetry I02352 1997 eBook  
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1.    
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TitleAlgebras and Orders
Author(s)Rosenberg, Ivo G;Sabidussi, Gert
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXVIII, 558 p : online resource
Abstract NoteIn the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation. This book contains the contributions of the invited speakers. Universal algebra- which established itself only in the 1930's- grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a well-established and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos?? ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties
ISBN,Price9789401706971
Keyword(s)1. ALGEBRA 2. Computer science???Mathematics 3. Discrete Mathematics in Computer Science 4. EBOOK 5. EBOOK - SPRINGER 6. MATHEMATICAL LOGIC 7. Mathematical Logic and Foundations 8. NUMBER THEORY 9. Order, Lattices, Ordered Algebraic Structures 10. Ordered algebraic structures 11. TOPOLOGY
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2.     
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TitleCycles and Rays
Author(s)Hahn, Gena;Sabidussi, Gert;Woodrow, R.E
PublicationDordrecht, Springer Netherlands, 1990.
Description276 p : online resource
Abstract NoteWhat is the "archetypal" image that comes to mind when one thinks of an infinite graph? What with a finite graph - when it is thought of as opposed to an infinite one? What structural elements are typical for either - by their presence or absence - yet provide a common ground for both? In planning the workshop on "Cycles and Rays" it had been intended from the outset to bring infinite graphs to the fore as much as possible. There never had been a graph theoretical meeting in which infinite graphs were more than "also rans", let alone one in which they were a central theme. In part, this is a matter of fashion, inasmuch as they are perceived as not readily lending themselves to applications, in part it is a matter of psychology stemming from the insecurity that many graph theorists feel in the face of set theory - on which infinite graph theory relies to a considerable extent. The result is that by and large, infinite graph theorists know what is happening in finite graphs but not conversely. Lack of knowledge about infinite graph theory can also be found in authoritative l sources. For example, a recent edition (1987) of a major mathematical encyclopaedia proposes to ". . . restrict [itself] to finite graphs, since only they give a typical theory". If anything, the reverse is true, and needless to say, the graph theoretical world knows better. One may wonder, however, by how much
ISBN,Price9789400905177
Keyword(s)1. COMBINATORICS 2. COMPUTERS 3. EBOOK 4. EBOOK - SPRINGER 5. PROBABILITIES 6. Probability Theory and Stochastic Processes 7. Theory of Computation
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TitleGraph Symmetry : Algebraic Methods and Applications
Author(s)Hahn, Gena;Sabidussi, Gert
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXX, 418 p : online resource
Abstract NoteThe last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre?? quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect
ISBN,Price9789401589376
Keyword(s)1. COMBINATORICS 2. Computer Communication Networks 3. Computer communication systems 4. Computer science???Mathematics 5. DISCRETE MATHEMATICS 6. Discrete Mathematics in Computer Science 7. EBOOK 8. EBOOK - SPRINGER 9. GROUP THEORY 10. Group Theory and Generalizations 11. MICROPROCESSORS 12. Processor Architectures
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