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- W2612769476 abstract "The conjecture that all trees are graceful is one of the most famous open problems in graphtheory. This thesis focuses on the class of spider graphs, a subclass of trees that has thusfar not been proven to be universally graceful. We present classes of spiders already knownto be graceful, explore methods for extending graceful graphs, and apply these methods tocreate new classes of graceful spiders. Additionally, we generate all possible gracefullabelings for spiders of order 16 or less, and explore properties of these labelings, offeringseveral conjectures and minor results relating to the graceful labeling of spiders." @default.
- W2612769476 created "2017-05-19" @default.
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- W2612769476 date "2017-05-06" @default.
- W2612769476 modified "2023-09-27" @default.
- W2612769476 title "New classes of graceful spiders and related computational results" @default.
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