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COMP4500/7500 Advanced Algorithms & Data Structures Tutorial Exercises 8 (2014/2)∗ School of Information Technology and Electrical Engineering, University of Queensland September 12, 2014 This material aims to familiarise you with amortised analysis. A good treatment of this may be found in CLRS Chapter 17; CLR Chapter 18. 1. (Kingston exercise 3.6) Consider the following algorithm

COMP4500/7500 Advanced Algorithms & Data Structures Tutorial Exercises 5 (2014/2)∗ School of Information Technology and Electrical Engineering, University of Queensland August 27, 2014 1. The following is a small example of a directed acyclic graph (dag).   1 2 3 4 5 6 7 8 9 / G is the graph, w the weight

COMP4500/7500 Advanced Algorithms & Data Structures Tutorial Exercises 2 (2014/2)∗ School of Information Technology and Electrical Engineering, University of Queensland August 4, 2014 This material aims to familiarise you with asymptotic notation and develop your skill at manipulating formulae involving asymptotic notation. A good treatment of the basics of asymptotic notation may be found in

=[laiAdvanced Algorithms & Data Structures November 8, 2018 The University of Queensland COMP4500/COMP7500 Dr Larissa Meinicke 2018, Semester 2 [Exam Paper] Question 1. Recurrence Relations [10 marks] (2 parts)7 • [5 marks] • [5 marks] Solution: • WTP: n(n + 1) = O() Need c, s.t. For all So suffices n(n + 1) = O()

Graphs Graph Algorithms (continued) COMP4500/7500 Advanced Algorithms & Data Structures August 21, 2019 August 21, 2019 1/72 Graphs Overview Admin/reminders Shortest paths: Dijkstra’s algorithm Bellman-Ford algorithm Priority-first search August 21, 2019 2/72 Graphs Shortest paths A path p from v1 to vn is a sequence of vertices. v1 →v2 →v3 →…→vn The total weight of