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| 001 | 9781138361416 | ||
| 003 | FlBoTFG | ||
| 005 | 20220724194451.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 201130s2021 flua fo 000 0 eng d | ||
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_aOCoLC-P _beng _erda _epn _cOCoLC-P |
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| 020 |
_a9780429779886 _q(e-book) |
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| 020 |
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| 035 | _a(OCoLC)1240713317 | ||
| 035 | _a(OCoLC-P)1240713317 | ||
| 050 | 4 | _aQA166 | |
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_aPBV _2bicssc |
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_a511.5 _223 |
| 100 | 1 |
_aSaoub, Karin R., _eauthor. |
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| 245 | 1 | 0 |
_aGraph theory _ban introduction to proofs, algorithms, and applications / _cKarin R. Saoub. |
| 264 | 1 |
_aBoca Raton : _bChapman & Hall/CRC, _c2021. |
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| 300 |
_a1 online resource _billustrations (black and white). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 520 | _aGraph Theory: An Introduction to Proofs, Algorithms, and Applications Graph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue for analysis. This text, for the first undergraduate course, will explore major topics in graph theory from both a theoretical and applied viewpoint. Topics will progress from understanding basic terminology, to addressing computational questions, and finally ending with broad theoretical results. Examples and exercises will guide the reader through this progression, with particular care in strengthening proof techniques and written mathematical explanations. Current applications and exploratory exercises are provided to further the reader's mathematical reasoning and understanding of the relevance of graph theory to the modern world. Features The first chapter introduces graph terminology, mathematical modeling using graphs, and a review of proof techniques featured throughout the book The second chapter investigates three major route problems: eulerian circuits, hamiltonian cycles, and shortest paths. The third chapter focuses entirely on trees - terminology, applications, and theory. Four additional chapters focus around a major graph concept: connectivity, matching, coloring, and planarity. Each chapter brings in a modern application or approach. Hints and Solutions to selected exercises provided at the back of the book. Author Karin R. Saoub is an Associate Professor of Mathematics at Roanoke College in Salem, Virginia. She earned her PhD in mathematics from Arizona State University and BA from Wellesley College. Her research focuses on graph coloring and on-line algorithms applied to tolerance graphs. She is also the author of A Tour Through Graph Theory, published by CRC Press. | ||
| 588 | _aOCLC-licensed vendor bibliographic record. | ||
| 650 | 0 | _aGraph theory. | |
| 650 | 7 |
_aMATHEMATICS / General _2bisacsh |
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| 650 | 7 |
_aMATHEMATICS / Combinatorics _2bisacsh |
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| 856 | 4 | 0 |
_3Read Online _uhttps://www.taylorfrancis.com/books/9781138361416 |
| 856 | 4 | 2 |
_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf |
| 942 |
_2lcc _cEBK |
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| 999 |
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