Hamilton circuits and paths complete graph Key terms Trees misc
100
What is a Hamilton circuit
circuit that includes each vertex once and only once, and must return to starting vertex
100
What is (N-1)! used for in completed graphs
Hamilton circuits
100
What is a weighted graph
a graph where a value is assigned to each edge
100
What is a sub graph
a graph made from the original graph
100
What does minimal mean in a graph
network with lowest weight
200
What is the difference between a Hamilton circuit and a Hamilton path
a circuit must return to the start
200
How many Hamilton circuits are there if n=5 if it is a complete graph
24
200
What is weight
the value of an edge
200
What is a span
reaches all vertices
200
What is cost
the weight of a edge
300
What is the difference between Hamilton and Euler
Hamilton- all vertices
Euler- all edges
300
What is the minimum value a vertices can have and why
2 because it has to connect back with out having any open ends
300
What is a tour
a trip to all sights and back in a Hamilton circuit
300
What is a spanning tree
a network with no vertices that reach all vertices and edges
300
What is the first step of brute force
list all Hamilton circuits
400
who is the Hamilton path and circuit named after
William Rowan Hamilton
400
What is what is a complete graph
where every vertices of a graph is connected by a direct edge
400
What is a optimal tour
a tour with the least amount of weight
400
What is a tree
a network with no circuits
400
What is the first step to cheapest link
select link with lowest weight
500
What is another name for a Hamilton path of circuit
a Hamiltonian path or circuit
500
in the formula (N(N-1)/2) what does N stand for
number of vertices
500
What is a edge
a line connecting two or more vertices
500
What does MST stand for
minimal spanning tree
500
What is the redundancy formula
R=M-(N-1)






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