Shared Flashcard Set

Details

Concepts of Mathematics
Chapters 1 and 2
18
Mathematics
Undergraduate 1
11/14/2007

Additional Mathematics Flashcards

 


 

Cards

Term
Circuit
Definition
path that starts and ends at the same vertex
Term
Connected Graph
Definition
possible to reach any vertex from any other vertex

(go from one place to another without picking up pencil.)
Term
Digraph
Definition
a graph where the edges have arrows indicating direction.

(one-way streets)
Term
Edge
Definition
A link between two vertices in a graph
Term
Euler circuit
Definition
A circuit that includes each edge of a graph once-and only- once.
Term
Eulerizing
Definition
Adding new edges to a graph to make that graph a Euler circuit
Term
Graph
Definition
A structure of vertices and edges, where the edges connect vertices
Term
Optimal solution
Definition
the best ranking solution out of all the possible ones: least cost, shortest distance etc..
Term
Path
Definition
Connected sequence of edges in a graph
Term
Valence (of a vertex)
Definition
The number of edges touching that vertex
Term
Vertex
Definition
A point on a graph where one or more edges end.
Term
Algorithm
Definition
A step-by-step descriptions of how to solve a problem
Term
Brute force method
Definition
method solves TSP by finding all possible Hamiltonian circuits and picking the best (optimal) one
Term
Complete Graph
Definition
A graph in which every pair of vertices is joined by an edge
Term
Critical Path
Definition
Longest path in an order-requirement graph
length of path= earliest completion time for all tasks making the job
Term
Fundamental Principle of Counting
Definition
Method for counting outcomes of multistage processes.
Term
Greedy Algorithm
Definition
Approach for solving an optimization problem:

The cheapest action is taken. : not always optimal solution
Term
Hamiltonian Circuit
Definition
A circuit using specific edges that starts and ends at the same vertex and visits each vertex once and only once
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