LEADER 00000cai a2200697Ia 4500 001 ocn957559315 003 OCoLC 005 20210720044925.2 006 m o d 007 cr mn||||||||| 008 160831c20169999xx uu o 0 2eng d 019 1090376411|a1090455629|a1090502137|a1096239765|a1097989963 020 9781534878655 020 1534878653 020 9781973702719 020 1973702711 035 (OCoLC)957559315|z(OCoLC)1090376411|z(OCoLC)1090455629 |z(OCoLC)1090502137|z(OCoLC)1096239765|z(OCoLC)1097989963 040 COF|beng|cCOF|dOCLCQ|dSOI|dORU|dOCLCQ|dOCL|dRRP|dINT |dOCLCQ|dUAB|dOCLCO|dAU@|dOCLCQ|dOCLCO 049 RIDW 050 4 QA164|b.K45eb 090 QA164|b.K45eb 100 1 Keller, Mitchel T. 245 10 Applied combinatorics /|cMitchel T. Keller, William T. Trotter. 264 1 [Place of publication not identified] :|bMitchel T. Keller, William T. Trotter,|c2016- 264 2 Minneapolis :|bOpen Textbook Library 264 4 |c©2016- 300 1 online resource :|billustrations (some colour). 310 Updated irregularly. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 data file|2rda 490 1 Open textbook library 500 "This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License."--Title page verso. 500 Includes index. 505 0 An Introduction to Combinatorics -- Strings, Sets and Binomial Coefficients -- Induction -- Combinatorial Basics -- Graph Theory -- Partially Ordered Sets -- Inclusion- Exclusion -- Generating Functions -- Recurrence Equations -- Probability -- Applying Probability to Combinatorics -- Graph Algorithms -- Network Flows -- Combinatorial Applications of Network Flows -- Polya's Enumeration Theorem -- The Many Faces of Combinatorics. 520 "Applied Combinatorics is an open-source textbook for a course covering the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques (inclusion-exclusion, generating functions, recurrence relations, Polyá theory), discrete structures (graphs, digraphs, posets, interval orders), and discrete optimization (minimum weight spanning trees, shortest paths, network flows). There are also chapters introducing discrete probability, Ramsey theory, combinatorial applications of network flows, and a few other nuggets of discrete mathematics."--Open Textbook Library. 538 Mode of access: World Wide Web. 588 This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license. 588 0 Online version, 2016 edition; title from PDF (viewed on August 31, 2016). 590 Open Educational Resources (OER). Open Textbooks 590 |bOpen Textbook Library 650 0 Combinatorial analysis.|0https://id.loc.gov/authorities/ subjects/sh85028802 650 0 Graph theory.|0https://id.loc.gov/authorities/subjects/ sh85056471 650 7 Combinatorial analysis.|2fast|0https://id.worldcat.org/ fast/868961 650 7 Graph theory.|2fast|0https://id.worldcat.org/fast/946584 650 7 MATHEMATICS|xCombinatorics.|2bisacsh 655 4 Electronic books. 655 7 Textbooks.|2fast|0https://id.worldcat.org/fast/1423863 655 7 Textbooks.|2lcgft|0https://id.loc.gov/authorities/ genreForms/gf2014026191 700 1 Trotter, William T.|0https://id.loc.gov/authorities/names/ n91110431 710 2 Open Textbook Library,|0https://id.loc.gov/authorities/ names/no2015006558|edistributor. 830 0 Open Textbook Library. 856 40 |uhttps://open.umn.edu/opentextbooks/textbooks/339|zOnline textbook via the Open Textbook Library. 901 MARCIVE 20231220 948 |d20221222|cOpenTextbook|tadd 988 July2021-June2022|lridw 948 |d20210720|cOpenTextbook|tinitial load 827|lridw 994 92|bRID