864 CHAPTER 13 Graph Theory 33. Marlow Heights a) Yes b) The residents would need to start at the intersection of Maple Cir., Walnut St., and Willow St. or at the intersection of Walnut St. and Oak St. Lake Lake Park Lake Lake Walnut St. Pine St. Elm St. Oak St. Willow St. Fir St. Maple Cir. 34. Temple Hills a) Yes b) The residents would need to start at the intersection of Spring Blvd. and Lake St. or at the rightmost intersection of Stream Cir. and Ocean Blvd. Lake Lake Lake Spring Blvd. Brook Ave. Creek St. Pond St. Lake St. Sea St. River St. Ocean Blvd. Water St. Stream Circle In Exercises 35–38, use Fleury’s algorithm to determine an Euler path. There are many answers possible. 35. A B C D E A D E C B A C D , , , , , , , 36. A B C D E ABCEDABDEBC , , , , , , , , , , 37. D F E A B C G H I H I F C B D G H E D A B E F , , , , , , , , , , , , , 38. A B G H F D E C ABHEBCEFHGF D C A G , , , , , , , , , , , , , , In Exercises 39– 44, use Fleury’s algorithm to determine an Euler circuit. There are many answers possible. 39. A F B G C E H D I ABCDIHGBEH C E G F A , , , , , , , , , , , , , , 40. G H A D B E C F ABCFHGEBFEDA , , , , , , , , , , , 41. A C D B E F H G ACDGHFCFEBA , , , , , , , , , , 42. A C D E F G H I J B K L ABEFJILKHGC D E I H D A , , , , , , , , , , , , , , , , 43. A B D G E C F H I J ABCEBDEFIEHD G H I J F C A , , , , , , , , , , , , , , , , , , 44. A B C D E F AFDACFECBEDBA , , , , , , , , , , , ,
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