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