Verfügbarkeit: Graphs on surfaces

Graphs on surfaces: dualities, polynomials, and knots

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Bibliographische Detailangaben
Hauptverfasser:	Ellis-Monaghan, Joanna A. (VerfasserIn), Moffatt, Iain (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	New York, NY [u.a.] Springer 2013
Schriftenreihe:	SpringerBriefs in mathematics
Schlagworte:	Graphentheorie Mannigfaltigkeit
Online-Zugang:	DE-634 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract
Beschreibung:	1 Online-Ressource
ISBN:	9781461469704 9781461469711
DOI:	10.1007/978-1-4614-6971-1

Internformat

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Datensatz im Suchindex

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adam_text	GRAPHS ON SURFACES / ELLIS-MONAGHAN, JOANNA A. : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS 1. EMBEDDED GRAPHS 2. GENERALISED DUALITIES 3. TWISTED DUALITY, CYCLE FAMILY GRAPHS, AND EMBEDDED GRAPH EQUIVALENCE 4. INTERACTIONS WITH GRAPH POLYNOMIALS 5. APPLICATIONS TO KNOT THEORY .-REFERENCES INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. GRAPHS ON SURFACES / ELLIS-MONAGHAN, JOANNA A. : 2013 ABSTRACT / INHALTSTEXT GRAPHS ON SURFACES: DUALITIES, POLYNOMIALS, AND KNOTS OFFERS AN ACCESSIBLE AND COMPREHENSIVE TREATMENT OF RECENT DEVELOPMENTS ON GENERALIZED DUALS OF GRAPHS ON SURFACES, AND THEIR APPLICATIONS. THE AUTHORS ILLUSTRATE THE INTERDEPENDENCY BETWEEN DUALITY, MEDIAL GRAPHS AND KNOTS; HOW THIS INTERDEPENDENCY IS REFLECTED IN ALGEBRAIC INVARIANTS OF GRAPHS AND KNOTS; AND HOW IT CAN BE EXPLOITED TO SOLVE PROBLEMS IN GRAPH AND KNOT THEORY. TAKING A CONSTRUCTIVE APPROACH, THE AUTHORS EMPHASIZE HOW GENERALIZED DUALS AND RELATED IDEAS ARISE BY LOCALIZING CLASSICAL CONSTRUCTIONS, SUCH AS GEOMETRIC DUALS AND TAIT GRAPHS, AND THEN REMOVING ARTIFICIAL RESTRICTIONS IN THESE CONSTRUCTIONS TO OBTAIN FULL EXTENSIONS OF THEM TO EMBEDDED GRAPHS. THE AUTHORS DEMONSTRATE THE BENEFITS OF THESE GENERALIZATIONS TO EMBEDDED GRAPHS IN CHAPTERS DESCRIBING THEIR APPLICATIONS TO GRAPH POLYNOMIALS AND KNOTS. GRAPHS ON SURFACES: DUALITIES, POLYNOMIALS, AND KNOTS ALSO PROVIDES A SELF-CONTAINED INTRODUCTION TO GRAPHS ON SURFACES, GENERALIZED DUALS, TOPOLOGICAL GRAPH POLYNOMIALS, AND KNOT POLYNOMIALS THAT IS ACCESSIBLE BOTH TO GRAPH THEORISTS AND TO KNOT THEORISTS. DIRECTED AT THOSE WITH SOME FAMILIARITY WITH BASIC GRAPH THEORY AND KNOT THEORY, THIS BOOK IS APPROPRIATE FOR GRADUATE STUDENTS AND RESEARCHERS IN EITHER AREA. BECAUSE THE AREA IS ADVANCING SO RAPIDLY, THE AUTHORS GIVE A COMPREHENSIVE OVERVIEW OF THE TOPIC AND INCLUDE A ROBUST BIBLIOGRAPHY, AIMING TO PROVIDE THE READER WITH THE NECESSARY FOUNDATIONS TO STAY ABREAST OF THE FIELD. THE READER WILL COME AWAY FROM THE TEXT CONVINCED OF ADVANTAGES OF CONSIDERING THESE HIGHER GENUS ANALOGUES OF CONSTRUCTIONS OF PLANE AND ABSTRACT GRAPHS, AND WITH A GOOD UNDERSTANDING OF HOW THEY ARISE DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Ellis-Monaghan, Joanna A. Moffatt, Iain
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spelling	Ellis-Monaghan, Joanna A. Verfasser (DE-588)1038228433 aut Graphs on surfaces dualities, polynomials, and knots Joanna A. Ellis-Monaghan ; Iain Moffatt New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in mathematics Graphentheorie (DE-588)4113782-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Graphentheorie (DE-588)4113782-6 s Mannigfaltigkeit (DE-588)4037379-4 s 1\p DE-604 Moffatt, Iain Verfasser aut https://doi.org/10.1007/978-1-4614-6971-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026191404&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026191404&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Ellis-Monaghan, Joanna A. Moffatt, Iain Graphs on surfaces dualities, polynomials, and knots Graphentheorie (DE-588)4113782-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd
subject_GND	(DE-588)4113782-6 (DE-588)4037379-4
title	Graphs on surfaces dualities, polynomials, and knots
title_auth	Graphs on surfaces dualities, polynomials, and knots
title_exact_search	Graphs on surfaces dualities, polynomials, and knots
title_full	Graphs on surfaces dualities, polynomials, and knots Joanna A. Ellis-Monaghan ; Iain Moffatt
title_fullStr	Graphs on surfaces dualities, polynomials, and knots Joanna A. Ellis-Monaghan ; Iain Moffatt
title_full_unstemmed	Graphs on surfaces dualities, polynomials, and knots Joanna A. Ellis-Monaghan ; Iain Moffatt
title_short	Graphs on surfaces
title_sort	graphs on surfaces dualities polynomials and knots
title_sub	dualities, polynomials, and knots
topic	Graphentheorie (DE-588)4113782-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd
topic_facet	Graphentheorie Mannigfaltigkeit
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work_keys_str_mv	AT ellismonaghanjoannaa graphsonsurfacesdualitiespolynomialsandknots AT moffattiain graphsonsurfacesdualitiespolynomialsandknots

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