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graph theory
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bridges of Königsberg basic types of graphs Eulerian circuit Hamiltonian circuit K5 planar graph and nonplanar graph compared K3,2 Dudeney puzzle
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graph theory summary
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Equations written on blackboard
Numbers and Mathematics
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bridges of Königsberg
In the 18th century the Swiss mathematician Leonhard Euler was intrigued by the question...
Encyclopædia Britannica, Inc.
basic types of graphs
Basic types of graphs.
Encyclopædia Britannica, Inc.
Eulerian circuit
A graph is a collection of vertices, or nodes, and edges between some or all of the...
Encyclopædia Britannica, Inc.
Hamiltonian circuit
A directed graph in which the path begins and ends on the same vertex (a closed loop)...
Encyclopædia Britannica, Inc.
K5
K5 is not a planar graph, because there does not exist any way...
Encyclopædia Britannica, Inc.
planar graph and nonplanar graph compared
With fewer than five vertices in a two-dimensional plane, a collection of paths between...
Encyclopædia Britannica, Inc.
K3,2
A bipartite map, such as K3,2, consists of two sets of points...
Encyclopædia Britannica, Inc.
Dudeney puzzle
The English recreational problemist Henry Dudeney claimed to have a solution to a...
Encyclopædia Britannica, Inc.
VIEW MORE in these related Britannica articles: