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Questions and Answers
Graph theory originated from which problem?
Graph theory originated from which problem?
- The Hamiltonian cycle problem
- The system of linear equations
- The dodecahedron problem
- The Seven Bridges of Konigsberg (correct)
Who solved the Konigsberg Bridge Problem?
Who solved the Konigsberg Bridge Problem?
- Euler (correct)
- Hamilton
- Leonhard
- Kirchho↵
What did Kirchho↵ develop the theory of trees to solve?
What did Kirchho↵ develop the theory of trees to solve?
- The dodecahedron problem
- The system of linear equations (correct)
- The Seven Bridges of Konigsberg
- The Hamiltonian cycle problem
Why is graph theory becoming increasingly significant?
Why is graph theory becoming increasingly significant?
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What is the object of Hamilton's game?
What is the object of Hamilton's game?
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Study Notes
Graph Theory Origins
- Graph theory originated from the Konigsberg Bridge Problem.
Konigsberg Bridge Problem
- The Konigsberg Bridge Problem was solved by Leonhard Euler.
- The problem involved finding a route that would allow someone to cross all seven bridges in Königsberg, Prussia, without crossing any bridge more than once.
Theory of Trees
- Gustav Kirchhoff developed the theory of trees to solve electrical circuit problems.
- The theory of trees is a part of graph theory.
Significance of Graph Theory
- Graph theory is becoming increasingly significant due to its applications in computer science, networking, and other fields.
Hamilton's Game
- The object of Hamilton's game is to find a cycle that visits each vertex of a graph exactly once.
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