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Odd Covers of Graphs

Buchanan, Calum
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Graphs are abstractions of many networks around us: social networks or the World Wide Web, to name just a couple. For various applications, there is interest in efficiently encoding a graph for a computer. We address a problem which relates to finding a “smallest” matrix with which to encode a graph. The problem, phrased in terms of a social network, is to find the minimum number of clubs that a given group of people can form under the condition that, if two people are friends, they are in an odd number of clubs together, and otherwise in an even number.
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Graduate
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2023-01-01
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