50 Recent Changes in Moll575 Web retrieved at 19:12 (GMT)
Homework Assignment Twelve 1. 9.1.2 2. 9.1.12 3. 9.2.4 4. 9.2.10 5. 9.3.4 6. 9.3.14 7. 9.4.2a,b 8. 9.4.10a 9. 9.4.16 10. (extra credit) Consider all unordered (distinct ...
Computer Science 575 Homework Assignments HwkOne HwkTwo HwkThree HwkFour HwkFive HwkSix HwkSeven HwkEight HwkNine HwkTen HwkEleven HwkTwelve RobbieMoll 27 Jan ...
Computer Science 575 Spring 2009 Now available, due 5/12: HwkTwelve Copy of a recent final exam is now available at CourseResources. CourseResources ...
Course Resources CS 575 / Math 513 Textbook: Alan Tucker, Applied Combinatorics (Wiley) 5th edition. On sale at Amherst books, downtown Amherst (8 Main Street ...
Homework Assignment 11 1 8.2.2 1 8.2.4 1 8.2.12 1 8.2.18 1 8.2.28 1 8.3.2 a and d 1 8.3.12 1 Use Inclusion/Exclusion and a combinatorial argument ...
Homework Assignment Ten 1 7.1.18 1 7.1.22 1 7.1.26 1 7.3.2 1 7.4.6 1 7.4.10 1 7.4.12 Due date in class, April 23 RobbieMoll 17 Apr 2009 ...
Homework Assignment Nine 1 6.2.4 1 6.2.24 1 6.2.26 1 6.4.10 1 7.1.2 1 7.1.4 1 7.1.8 Due: Thursday, 4/16, in class RobbieMoll 08 April 2009 ...
Homework Assignment Seven 1 5.1.12 1 5.1.18 1 5.1.20 (no need to comment) 1 5.1.30 (no need to comment) 1 5.1.34 1 5.1.42 1 5.2.6 1 5.2.22 ...
Homework Assignment Eight 1 5.5.14, d, f 1 5.5.22 1 5.5.26 1 5.5.32 1 6.1.2 1 6.1.6 1 6.1.22 1 6.2.2 1 6.2.8 1 6.2.18 1 6.2.20 ...
Homework Assignment Six 1. 4.4.2 a,b 2. There are r s couples at a dance. The men are divided into r groups, by age, with s guys in each group; the women are also ...
Homework Five Computer Science 575 1. 3.1 2 2. 3.1 18 3. 3.1 24 4. 3.1 26 5. 3.1 28 6. 3.1 29 a, b 7. 3.2 6 8. 3.2 20 9. Two spanning trees on a ...
A Sample Midterm Computer Science 575 / Mathematics 513 Combinatorics and Graph Theory Midterm Exam October 19, 2006 (closed book, 75 minutes, in class) 1. (16) Suppose ...
Computer Science 575 Homework Assignment Four 1 2.1 22 2.1 43 2.1 104 2.1 165 2.2 4 (d,e)6 2.2 167 2.2 208 2.3 89 2.3 1010 2.4 16 Due ...
Computer Science 575 Spring 2009 Homework 3 1. 1 supp 8 (p 43) 2. 1 supp 103. 1 supp 12 4. 1 supp 245. 1 supp 286. Given this degree sequence: (4,4,4,4,3,3), find ...
Computer Science 575 Homework Assignment #2 All numbered homeworks are from the Tucker text 1. 1.1.4 2. 1.1.26 3. Prove that no graph with two or more ...
Computer Science 575 Spring 2009 Homework Assignment 1 All problems are from the textbook 1 problem 8, page 425 1 problem 11, page 425 1 problem 14, page ...
Course Syllabus CS 575 Date Topic Book Reference Comments 1/27 Intro/PidgeonHole A.4 1/29 Basic Graph Theory ch 1 2/3 ...
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Course Grading CS 575 Grading: 50% homework problems; 15% midterm; 35% final. Also: you must pass the final to get a C in the class. Collaborative solutions ...
Course Administration CS 575 / Math 513 Instructor: Robert Moll CS Bldg room 276; moll #64;cs.umass.edu; 545 4315; Office hours TBA TA: Pla RobbieMoll ...
Elementary Java Resource Web LoopingLink RobbieMoll 17 May 2007
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Homework Assignment Eleven Quick Answers 1. 8.2.2 6 10 C(6,2)5 10 C(6,3)4 10 .. 2. 8.2.4 prime factors: 2,3,5,7, so: 420 – (240 140 82 60) (divisors (multiples ...
Course Homework Assignments HomeworkOne HomeworkTwo HwkTwoanswers HomeworkThree HwkThreeanswers HomeworkFour HwkFouranswers HomeworkFive ...
Homework Ten Quick Answers 1. 7.1.8 Use identity C(n,k) C(n 1,k) C(n 1,k 1) 2. 7.1.18 a. An 2An 1 An 2; b. An An 2 2An 1 4An 4 3. 7.1.22 An 2An 1 2 (n 1) 4. 7.1 ...
Homework Assignment Twelve Quick Answers 1. 9.1.4 2. 9.1.12 pi2 and pi7 don’t commute 3. 9.2.4 (1/4) 2 64 2 2 16 2 32 4. 9.2.10 (1/2) 3 2 (n 1) 3 2 (n/2 1) ...
Homework Assignment Nine Quick Solutions 1. 6.2.4 C(14,9) C(9,4) 2. 6.2.18 a.C(r 1,r 8); b. C(r/2 7,r/2) 3. 6.2.24 C(89,40) C(86,37)C(50,1) C(83,34)C(50,2).. ...
Computer Science 575/ Mathematics 513 Combinatorics and Graph Theory Final Exam May 14, 2005 Show all you work! 1. Given two copies each of the letters a,b,c,d,e ...
Homework Assignment Twelve Due: in class on Tuesday, December 12 last day of class (all work due at that time!) 1. 9.1.2 2. 9.1.12 3. 9.2.4 4. 9.2.10 5. 9.3.4 6 ...
Homework Eight Quick Answers 1. 5.4.10 C(32,4); C(27,4); C(17,4) 2. 5.4.22 C(17,2) C(14,2) C(11,2) C(8,2) C(5,2) 1 3. 5.4.48 solved at end of chapter 4. ...
Homework Seven Quick Answers 1. 5.1.6 n (n 1) 2. 5.1.10 23, that is (1 3) (1 5) –1 3. 5.1.12 (5 2) (26 2); (26 2) (21 2) 4. 5.1.18 2 (26 3)(10 3); ...
Homework Assignment Eleven Due: in class, Thursday, November 30 (note Thursday collection day) 1. 8.2.2 2. 8.2.4 3. 8.2.12 4. 8.2.18 5. 8.2.28 6. 8.3.2 a,d 7. 8.3 ...
Homework Assignment Ten Due in class on 11/21 1. 7.1.8 2. 7.1.18 3. 7.1.22 4. 7.1.26 5. 7.1.34 6. 7.3.2 7. 7.4.2 RobbieMoll 14 Nov 2006
Homework Assignment Nine Due in class on Tuesday, November 14 1. 6.2.4 2. 6.2.18 3. 6.2.24 4. 6.2.30 5. 6.3.14 6. 6.3.22 7. 6.4.10 8. 6.5.2e 9. 7.1.2 RobbieMoll ...
Homework Eight Due: Tuesday, November 7, in class 1. 5.4.10 2. 5.4.22 3. 5.4.48 4. 5.4.54 5. 5.5.14,d,f 6. 5.5.22 7. 5.5.26 8. 5.5.34 9. 6.1.2 10. 6.1.6 11. 6.1.22 ...
Homework Assignment Seven Due date: October 31, in class 1. 5.1.6 2. 5.1.10 3. 5.1.12 4. 5.1.18 5. 5.1.20 6. 5.1.24 7. 5.1.30 8. 5.1.34 9. 5.1.42 10. 5.2.2 11. 5.2 ...
Lecture Eleven: Matching The fundamental theorem about unweighted bipartite matching is Hall' theorem: a bipartite graph (X,Y,E) has a complete match(i.e. a match ...
Lecture Summaries LectureFive LectureSix LectureSeven LectureEight LectureNine LectureTen LectureEleven RobbieMoll 26 Sep 2006 ...
Telegraphic Answers to Homework Assignment Five 1. 3.1.2 21 2. 3.1.18 use the fact that if c1 and c2 are centers, and b1 and b2 are leaves that witness for the ...
Homework four quick answers Brief Answers 1. 2.1 2 (a) any odd n; (b) K2 (c) both r,s even 2. 2.1 4 lift twice 6 odd degree vertices. connect 2 of them, then ...
Lecture Seven RobbieMoll 16 Oct 2006
Lecture Ten: Network Flows Lecture today follows the text fairly closely A network is a loop free directed connected graph with a unique source (a), sink ...
Homework Assignment Six 1. 4.4.2 2. 4.4.8 3. 4.2.13 4. 4.2.6 5. 4.3.2 a,b 6. Two spanning trees on a Graph N, say T1 and T2, are "neighbors" if T2 can be obtained ...
Computer Science 575 / Mathematics 513 Combinatorics and Graph Theory Midterm Exam March 10, 2005 1. (15) Characterize trees that have Euler trails. 2. (15) An ...
Lecture Nine: Trees, part 2 Recall a tree is connected graph without circuits If G is a connected, undirected graph, then it has a spanning tree T a ...
Homework Five 1. 3.1 2 2. 3.1 18 3. 3.1 24 4. 3.1 26 5. 3.1 28 6. 3.1 30 7. 3.2 6 8. 3.2 16 a Due Tuesday, October 10, in class RobbieMoll 03 ...
Lecture Eight: Trees, part 1 Def a tree is connected graph without circuits Textbook quickly switched to rooted trees: trees with distinguished "root" ...
Homework Three Quick Answers 1. 1 supp 4 (p. 49) 11 vertices is minimum. K11 has 55 edges, K10 has 45 2. 1 supp 10 Consider (a) shortest path from a to b, where a ...
Homework Assignment Four 1. 2.1 2 2. 2.1 4 3. 2.1 10 4. 2.1 16 5. 2.2 4 (d,e) 6. 2.2 16 7. 2.2 20 8. ...
Homework Two Answers 1. 1.1.4 – graph appears to be directed, but since all arcs go both ways, the graph is actually undirected. Edges: (j m)(j w)(m r) (m ...
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