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Mathematics

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Mathematics

 
 

Recent Submissions

  • Coloring Graphs and Digraphs 
    Higley, Chris (2020-05-07)
    A coloring of a (directed or undirected) graph is an assignment of colors to the vertices such that the endpoints of each edge receive different colors. A star coloring of an undirected graph is a coloring such that every ...
  • Exploring PageRank Algorithms: Power Iteration & Monte Carlo Methods 
    Vargas, Brian (2020-04-28)
    A search engine is intended to crawl the world wide web and retrieve a list of sites that match the user's search terms. Listing the search results in a proper order is crucial but it is far from being a trivial task. Prior ...
  • Algorithm for computing units in multicyclic number fields. 
    Savage, Anthony (2019-08-15)
    For finite field extensions of Q, we study a special class of subrings called the orders of the field. Dirichlet’s Unit Theorem tells us the unit group of these orders is finitely generated. Certain lattice based ...
  • Survey of Multistationarity in Reaction Network Theory 
    Li, Yuan (2018-07-30)
    The business of Reaction Network Theory is to model and study the dynamical properties of biochemical processes and certain biological systems such ecological dynamics and spread of epidemics. When large number of ...
  • A Relative Entropy Approach to Study Critical Fluid Model Solutions for Multiclass Processor Sharing Queues 
    Mulvany, Justin (2018-05-14)
    A multiclass processor sharing queue consists of a single server and a buffer that contains jobs that require service. At each time, the server simultaneously processes the work associated with each job in the buffer at ...