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arXiv · 2412.00212

Complexity of graph evolutions

Jeffrey Gao·Paul C. Kainen
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Abstract

A permutation of the elements of a graph is a {\it construction sequence} if no edge is listed before either of its endpoints. The complexity of such a sequence is investigated by finding the delay in placing the edges, an {\it opportunity cost} for the construction sequence. Maximum and minimum cost c-sequences are provided for a variety of graphs and are used to measure the complexity of graph-building programs.

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Jeffrey Gao, Paul C. Kainen. 2024-11-29. Complexity of graph evolutions. https://arxiv.org/abs/2412.00212

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