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arxiv: 2103.10587 · v1 · pith:FWOEI52Bnew · submitted 2021-03-19 · 🧮 math.CO

Progress on the localization number of a graph

classification 🧮 math.CO
keywords localizationnumbergraphgraphsresultsdescribegamebounds
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We highlight new results on the localization number of a graph, a parameter derived from the localization graph searching game. After introducing the game and providing an overview of existing results, we describe recent results on the localization number. We describe bounds or exact values of the localization number of incidence graphs of designs, polarity graphs, and Kneser graphs.

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