2006Scholarship @ Claremont (The Claremont Colleges)Open access

Kolmogorov Complexity of Graphs

John P. Hearn

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Abstract

Kolmogorov complexity is a theory based on the premise that the complexity of a binary string can be measured by its compressibility; that is, a string’s complexity is the length of the shortest program that produces that string. We explore applications of this measure to graph theory.

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What this paper is about

Kolmogorov complexity is a theory based on the premise that the complexity of a binary string can be measured by its compressibility; that is, a string’s complexity is the length of the shortest program that produces that string. We explore applications of this measure to graph theory.

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Available abstract

Kolmogorov complexity is a theory based on the premise that the complexity of a binary string can be measured by its compressibility; that is, a string’s complexity is the length of the shortest program that produces that string. We explore applications of this measure to graph theory.

Key concepts: Mathematics, Combinatorics, Computer science, Discrete mathematics

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