{"id":1496,"date":"2016-04-15T15:13:45","date_gmt":"2016-04-15T19:13:45","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/avince\/?page_id=1496"},"modified":"2026-03-19T08:15:15","modified_gmt":"2026-03-19T12:15:15","slug":"combinatorics","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/avince\/combinatorics\/","title":{"rendered":"Combinatorics"},"content":{"rendered":"\r\n
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Combinatorics<\/h1>\n\n\n\n
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MAD 6206
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Fall 2025<\/span><\/p>\n\n\n\n\n\n\n\n\n\n

__________________________<\/p>\n\n\n\n\n\n\n\n\n\n\n\n

Time:<\/span><\/b> MWF period 6<\/b><\/span><\/p>\n\n\n\n\n\n

Place:<\/b> Little 233<\/span><\/p>\n\n\n\n\n\n

Phone:<\/b> 352-294-2339 <\/span><\/p>\n\n\n\n\n\n

Office: <\/b>438 Little Hall<\/span><\/p>\n\n\n\n\n\n

Email<\/b>: avince@ufl.edu<\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n\n

References:<\/b> <\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0 Combinatorics: Topics, Techniques, Algorithms – <\/span>P. Cameron\u00a0 <\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0 A Course in Combinatorics – van Lint and Wilson <\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0 Enumerative Combinatorics Vol 1 – R. Stanley <\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0 Graph Theory – R. Diestel<\/span><\/p>\n\n\n\n\n\n

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Office Hours: <\/b>Monday, Wednesday, Friday – period 7
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\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (or by appointment) <\/span><\/a><\/p>\n\n\n\n\n\n\n\n\n\n

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<\/a>Combinatorics<\/span><\/h3>\n\n\n\n

\u00a0 \u00a0 \u00a0 This is one semester graduate level introductory course on combinatorics.\u00a0\u00a0<\/span><\/p>\n\n\n\n\n\n\n\n\n\n

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<\/a>Topics\u00a0<\/span><\/h3>\n\n\n\n

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\u00a0Enumeration\u00a0 (weeks 1-6) <\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0Permutations, combinations, compositions, set and integer partitions<\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0Recursion and generating functions<\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0Inclusion-exclusion<\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0Enumeration under group action<\/span><\/p>\n\n\n\n\n\n

Partially ordered sets (weeks 7-8)<\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0Mobius function<\/span><\/p>\n\n\n\n\n\n

Graphs (9-13)<\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0Eulerian circuits and Hamiltonian cycles<\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0Minimum spanning tree and an introduction to complexity theory<\/span><\/p>\n\n\n\n\n\n

\u00a0 \u00a0 \u00a0 Coloring and planarity<\/span><\/p>\n\n\n\n\n\n\n\n\n\n

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<\/a>Grades<\/span><\/h3>\n\n\n\n

\u00a0 \u00a0 \u00a0 Attendance, small group problem sessions with instructor.
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<\/a>Campus Resources<\/span><\/h3>\n\n\n\n

\u00a0 \u00a0 \u00a0 \u00a0This course complies with all UF academic policies. For information on those polices and for resources for students, please see <\/span>this link.<\/a><\/span>
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\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":289,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-1496","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/pages\/1496","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/users\/289"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/comments?post=1496"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/pages\/1496\/revisions"}],"predecessor-version":[{"id":2986,"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/pages\/1496\/revisions\/2986"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/media?parent=1496"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}