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Title A primer for undergraduate research : from groups and tiles to frames and vaccines / Aaron Wootton, Valerie Peterson, Christopher Lee, editors.
Imprint Cham, Switzerland : Birkhauser, 2018.

LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
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LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
Series Foundations for undergraduate research in mathematics.
Foundations for undergraduate research in mathematics. http://id.loc.gov/authorities/names/no2018046336
Subject Intersection theory (Mathematics)
Presentations of groups (Mathematics)
Graph theory.
Alt Name Wootton, Aaron,
Peterson, Valerie (Valerie J.),
Lee, Christopher, 1975-
Description 1 online resource : illustrations.
polychrome rdacc http://rdaregistry.info/termList/RDAColourContent/1003
Bibliography Note Includes bibliographical references and index.
Note Online resource; title from PDF title page (EBSCO, viewed February 15, 2018).
Contents Intro; Contents; Coxeter Groups and the Davis Complex; 1 Introduction; 2 Group Presentations and Graphs; 2.1 Group Presentations; 2.1.1 A Constructive Approach; 2.2 Some Basic Graph Theory; 2.3 Cayley Graphs for Finitely Presented Groups; 3 Coxeter Groups; 3.1 The Presentation of a Coxeter Group; 3.2 Coxeter Groups and Geometry; 3.2.1 Euclidean Space and Reflections; 3.2.2 Spherical Geometry and Reflections; 3.2.3 Hyperbolic Geometry and Reflections; 3.2.4 The PoincarA Disk Model for Hyperbolic Space; 4 Group Actions on Complexes; 4.1 CW-Complexes; 4.2 Group Actions on CW-Complexes
5 The Cellular Actions of Coxeter Groups: The Davis Complex5.1 Spherical Subsets and the Strict Fundamental Domain; 5.1.1 Spherical Subsets; 5.1.2 The Strict Fundamental Domain; 5.2 The Davis Complex; 5.3 The Mirror Cellulation of I; 5.4 The Coxeter Cellulation; 5.4.1 Euclidean Representations; 5.4.2 The Coxeter Cell of Type T; 6 Closing Remarks and Suggested Projects; References; A Tale of Two Symmetries: Embeddable and Non-embeddable Group Actions on Surfaces; 1 Introduction; 2 Determining the Existence of a Group Action; 2.1 Realizing A4 as a Group of Rotations; 2.2 Preliminary Examples
2.3 Signatures2.4 Generating Vectors and Riemann's Existence Theorem; 3 Actions of the Alternating Group A4; 3.1 Signatures for A4-Actions; 4 Embeddable A4-Actions; 4.1 Necessary and Sufficient Conditions for Embeddability of A4; 5 Suggested Projects; References; Tile Invariants for Tackling Tiling Questions; 1 Prologue; 2 Tiling Basics; 3 Tile Invariants; 3.1 Coloring Invariants; 3.2 Boundary Word Invariants; 3.3 Invariants from Local Connectivity; 3.4 The Tile Counting Group; 4 Tile Invariants and Tileability; 5 Enumeration; 6 Concluding Remarks; References
Forbidden Minors: Finding the Finite Few1 Introduction; 2 Properties with Known Kuratowski Set; 3 Strongly Almosta#x80;#x93;Planar Graphs; 4 Additional Project Ideas; References; Introduction to Competitive Graph Coloring; 1 Introduction; 1.1 Trees and Forests; 1.2 The (r, d)-Relaxed Coloring Game; 1.3 Edge Coloring and Total Coloring; 2 Classifying Forests by Game Chromatic Number; 2.1 Forests with Game Chromatic Number 2; 2.2 Smallest Tree with Game Chromatic Number 4; 3 Relaxed-Coloring Games; 4 The Clique-Relaxed Game; 5 Edge Coloring; 6 Total Coloring; 7 Conclusions and Problems to Consider
ISBN 9783319660653 (electronic bk.)
3319660659 (electronic bk.)
9783319660646
3319660640
OCLC # 1022266224
Additional Format Print version: Primer for undergraduate research. Cham, Switzerland : Birkhauser, 2018 3319660640 9783319660646 (OCoLC)994791721.