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In this text, we focus on a subset (called the set of tiny braids) of factors of the Garside braid and generalize some known results related to tiny braids. These… Click to show full abstract
In this text, we focus on a subset (called the set of tiny braids) of factors of the Garside braid and generalize some known results related to tiny braids. These generalized results, along with some combinatorics, strengthen the existing relationship between this subset and Fibonacci numbers. We also associate a commuting graph with the subset and explore its fundamental identities, including its order, diameter, girth and degree-related properties.
Keywords:
properties tiny;
associated commuting;
braids associated;
commuting graph;
tiny braids
Journal Title: Journal of Algebraic Combinatorics
Year Published: 2019
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Journal Title: Journal of Algebraic Combinatorics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!