# Limits of Ordered Graphs and Images

@article{BenEliezer2018LimitsOO, title={Limits of Ordered Graphs and Images}, author={Omri Ben-Eliezer and Eldar Fischer and Amit Levi and Yuichi Yoshida}, journal={ArXiv}, year={2018}, volume={abs/1811.02023} }

The emerging theory of graph limits exhibits an interesting analytic perspective on graphs, showing that many important concepts and tools in graph theory and its applications can be described naturally in analytic language. We extend the theory of graph limits to the ordered setting, presenting a limit object for dense vertex-ordered graphs, which we call an orderon. Images are an example of dense ordered bipartite graphs, where the rows and the columns constitute the vertices, and pixel…

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