AMS 303 GRAPH THEORY Spring, 2011
Class Time and Place: TTh 11:20 am-12:40 pm, Phys P118.
Instructor: Prof. Alan Tucker
Office: Math Tower P-138;
Office Hours: MW 12-1:15pm, Th 1:00-3:00
in Math 1-105.
How to Reach Prof. Tucker: telephone: 2-8365; e-mail: atucker@notes.stonybrook.edu
Course Texts:Introduction to Graph Theory, Fourth Edition,
by R. Wilson, Longman Scientific.
Applied Combinatorics, Fifth Edition, by A.Tucker, John Wiley & Sons.
Tests: one quiz, two hour tests, and take-home final.
Homework: Assigned weekly and graded; Counts for about 15% of course grade; Solutions to all problems available before tests. Weekly Assignments Listed Below.
Course Grader: Boris Grinshpun, Office Hours: Fri 2:30-4:30, Harriman 014
Students with disabilities or who need special assistance with exams or other aspects of the course are asked to let Prof. Tucker know about their circumstances at the
beginning of the course.
Each student must pursue his or her academic goals honestly and
be personally accountable for all submitted work. Representing another
person's work as your own is always wrong. Any suspected instance of academic
dishonesty will be reported to the Academic Judiciary. For more comprehensive
information on academic integrity, including categories of academic dishonesty,
please refer to the academic judiciary website at http:
//www.stonybrook.edu/uaa/academicjudiciary/.
COURSE OUTLINE:
Week 1-- Feb 1-3: Intro to Graph Theory, Chapt 1&2
Week 2-- Feb 8-10: G.T., Chapt 4
Homework (due Feb 10th): Chapt 1: #15,16,31, Chapt 4: #5,8,10
Week 3-- Feb 15-17: G.T. Chapt 4,5
Homework (due Feb 22nd): Chapt 1:#43, Chapt 2: #3,5,9(i), Chapt 4: 13,14,15,16,17,18,19 (equivalent problems in regular 4th ed.: Sect 5: #2,4,9(i); Sect 13:
#1,2,3,4,5,6,7
AMS 303 Old Quiz Questions and Solutions
Week 4-- Feb 22-24: G.T., Chapt 5, Quiz on Feb 24th
Homework (due Mar 1): Chapt 5: #1, 4(i)(ii), 5,7,8, 19,21,22,24; equivalent
problems in regular 4th ed.: Sect 17: #1,4,5,7,8; Sect. 19:#1,3,4,7.
Week 5-- Mar 1 - 3: Chapt 5 and Review
Homework (due Mar 8): Chapt 5: #9, 12, 25, 28, 31.
Spring 2011 First Test
Spring 2010 First Test
Spring 2009 First test
Solutions for Old First Tests
Solutions to Homeworks
REMBEMBER: You may bring one (two-sided) page of definitions, key facts (e.g., sum of degrees = 2m) and theorems to the test-- no proofs, no solutions to homework problems.
Week 6-- Mar 8-10, Test March 8th, then Applied Combinatorics, Chapter 9
Week 7-- Mar 15-17: A.C. Chapter 9
Homework 5 (due Mar 22): 9.1: 5c,10bc; 9.2: 3,4,10; 9.3: 4ac,5de,7de; 9.4: 2bc,7de,9ab
Week 8-- Mar 22-24: A.C. Chapter 4, sect 3,4
Week 9--- Mar 29-31: A.C. Chapter 4, sect 5
Homework 6 (due Apr 5): 4.3: 2ab,3,6,8,9,12,21; 4.4: 2,4,5,8; 4.5: 4ab,6a
Corrected section 4.5
Week 10-- Apr 5- 7: Chapter 11
Homework 7 (Apr 12): 11.1: 1ab,3,8,12a,15; 11.2: 1abc,2abc,3ab,4ab
Week 11--Apr 12-14, Review and test (April 14)
Spring 10 Second Test
Spring 09 Second Test
Spring 08 Second Test
Solutions to Old Second Tests
Solutions to Homeworks
Spring Break: Apr 19-21
Week 12--Apr 26-28: Cryptanalysis
Cryptogram Text
Homework for April 26: HCB RWOEUWY NXHY QM QWIUFOKBN SQLOBHY OS HQ BFPUWIB
HCB POTBS UFN OFLWBUSB HCB SHUFNUWN QM POTOFI QM UPP HCB RBQRPB.
Homework for April 28:
FKYVY STDDB YQYLP UHFVG FTPUH GFFKY JPLEN FYVJY UFYVU YIFSY
YAFPE VPFYH FFKYV YHFVT JFTPU HPUYU VPDDL YUFHT UJPLE NFYVH
JTYUJ YJPNV HYHTU FKYRG DDFKY JPLEN FYVJY UFYVS TDDBY JDPHY
QQNVT UCFKY EVPFY HFHGU QJNVV YUFJP LENFY VHJTY UJYHF NQYUF
HFPDQ FPVNU FKYTV EVPCV GLHGF JPLEN FYVHG FPFKY VDPUC THDGU
QHJKP PDH
Week 13--May 3-5: More Cryptanalysis; Get Takehome final May 5
Homework for May 3
PCFIQ BZWOR ZEVOF ZRMFZ WMRKG CYWZW OQGIJ QEGRO SOGOF QZIOZ
OTYOG MOFJO VMFRQ XHMFK JGIYZ QKGCP RSWOF YGQBO RRQGZ EJNOG
CRRMK FOVZW MRWQP OSQGN YGQAX OPZWO GOSOG OLEMZ OCBOS RZEVO
FZRSW QWCHO AOOFR ZEPYO VAIZW MRNOI SQGVZ GCFRY QROOF JQVMF
KRJWO POKQQ VXEJN
Week 14--May 10-12, Work on Take-home Exam
Frequency Table
Polyalphabetic Encoding Sheet
Template for Keyword Tables
Template for Aligning Alphabets
Tips for Takehome Final
Take-Home Final due on Wednesday May 18th at 11:59 pm.
Historical Curve in Prof. Tucker's AMS 303 classes:
- approximately 28% A's, 40% B's, 25% C's, 7% D's,F's&I's
GTA