Hamiltonian circuits Study guides, Class notes & Summaries

connected For every pair of vertices there is a path from one vertex to another complete For every pair of vertices there is an edge that gets you from one vertex to another Connected graph that is not complete there is a path to every vertex (connected) but vertex Q is not adjacent to vertex R (not complete) Non-connected graph not connected bc there is no path that will allow you to start at C and end at K; bc it's not connected it's also not complete complete graph w...

load lambda - how full the table currently is foo(N-1) time complexity - O(N) foo(N-1) - foo(N-2) - O(2^N) foo(foo(N-1)) - O(2N) or O(N) stable sort that is O(NlogN) worst case - merge sort unstable sort that is O(NlogN) worst case - heap sort sort algorithm that is O(N) worst case - bucket sort traveling salesman problem - no efficient solution is known find a Hamiltonian path in a graph - no efficient solution is known complete graph with 12 vertices - dense graph ...

1. Sets and Logic 1.1 Sets 1.2 Propositions 1.3 Conditional Propositions and Logical Equivalence 1.4 Arguments and Rules of Inference 1.5 Quantifiers 1.6 Nested Quantifiers Problem-Solving Corner: Quantifiers 2. Proofs 2.1 Mathematical Systems, Direct Proofs, and Counterexamples 2.2 More Methods of Proof Problem-Solving Corner: Proving Some Properties of Real Numbers 2.3 Resolution Proofs 2.4 Mathematical Induction Problem-Solving Corner: Mathematical Induction 2.5 Strong Form of ...

A tree is any graph that is connected and has no circuits. A graph has a Euler Circuit if It is connected and every vertex has even degree The number of Hamiltonian circuits in a complete graph with 10 vertices is The lower your credit score, the more likely you are to get credit False A tree with n vertices has n-1 edges A complete graph with n vertices has (n-1) Hamilton Circuits

Math 101 Exam Questions with 100% Correct Answers A tree is - any graph that is connected and has no circuits. A graph has a Euler Circuit if - It is connected and every vertex has even degree The number of Hamiltonian circuits in a complete graph with 10 vertices is - The lower your credit score, the more likely you are to get credit - False A tree with n vertices has - n-1 edges A complete graph with n vertices has - (n-1) Hamilton Circuits One in which each vertex shares an edge wi...

Worksheet on Hamiltonian paths and circuits