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Cycle Bases of Directed Graphs

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dc.contributor.advisor Morris, Walter D Jr Brown, Barbara A
dc.creator Brown, Barbara A 2018-05-01 2018-08-08T20:13:52Z 2018-08-08T20:13:52Z
dc.description.abstract Each cycle of a directed graph can be written as a linear combination of the circuits of a cycle basis for that directed graph. We define two new classes of cycle bases and show how each relates to the known classes of strictly fundamental cycle bases, zero-one cycle bases and integral cycle bases. We provide examples showing the significance of the Möbius band to constructing directed graphs, the bases of which are in some of these classes and not in other classes.
dc.language.iso en en_US
dc.subject zero-one cycle basis en_US
dc.subject circuit boxed cycle basis en_US
dc.subject integral cycle basis en_US
dc.subject simple cycle boxed cycle basis en_US
dc.subject strictly fundamental cycle basis en_US
dc.subject cycle matrix en_US
dc.title Cycle Bases of Directed Graphs en_US
dc.type Thesis en_US Master of Science in Mathematics en_US Master's en_US Mathematics en_US George Mason University en_US

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