Priority Research Centre for Computer-AssistedResearch Mathematics and its Applications
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Upcoming CARMA Events

 CARMA DISCRETE MATHEMATICS SEMINAR Speaker: Dominique Buset, Title: The Degree/Diameter Problem for Mixed Graphs Location: V205, Mathematics Building (Callaghan), The University of Newcastle Time and Date: 11:00 am, Thu, 11th Feb 2016 Abstract: The Degree/Diameter Problem for graphs has its motivation in the efficient design of interconnection networks. It seeks to find the maximum possible order of a graph with a given (maximum) degree and diameter. It is known that graphs attaining the maximum possible value (the Moore bound) are extremely rare, but much activity is focussed on finding new examples of graphs or families of graph with orders approaching the bound as closely as possible. This problem was first mention in 1964 and has its motivation in the efficient design of interconnection networks. A lot of great mathematician studied this problem and obtained some results but there still remain a lot of unsolved problems about this subject. Our regretted professor Mirka Miller has given a great expansion to this problems and a lot of new results were given by her and her students. One of the problem she was recently interested in, was the Degree/Diameter problem for mixed graphs i.e. graphs in which we allow undirected edges and arcs (directed edges). Some new result about the upper bound of this Moore mixed graph has been obtained in 2015. So this talk consists on giving the main known results about those graphs. [Permanent link] SUMMER SCHOLAR PRESENTATIONS 2016 Summer Student Presentations Part I Location: V205, Mathematics Building (Callaghan), The University of Newcastle Dates: 1:00 pm - 5:00 pm, Thu, 11th Feb 2016 Presentations will be held on Thursday afternoon and all day on Friday. [Permanent link] SUMMER SCHOLAR PRESENTATIONS 2016 Summer Student Presentations Part II Location: V205, Mathematics Building (Callaghan), The University of Newcastle Dates: 9:00 am - 5:00 pm, Fri, 12th Feb 2016 Presentations will be held on Thursday afternoon and all day on Friday. [Permanent link] CARMA AND UNIVERSITY OF NEW CALEDONIA CONFERENCE South Pacific Optimization Workshop SPOW 2016 Location: Noumea Dates: Tue, 16th Feb 2016 - Thu, 18th Feb 2016 For information, please visit the workshop website. [Permanent link] CARMA SEMINAR Speaker: Roberto Costas-Santos, Universidad de Alcalá Title: Basic hypergeometric orthogonal polynomials Location: V205, Mathematics Building (Callaghan), The University of Newcastle Time and Date: 4:00 pm, Tue, 16th Feb 2016 Abstract: We will review the (now classical) scheme of basic ($q$-) hypergeometric orthogonal polynomials. It contains more than twenty families; for each family there exists at least one positive weight with respect to which the polynomials are orthogonal provided the parameter $q$ is real and lies between 0 and 1. In the talk we will describe how to reduce the scheme allowing the parameters in the families to be complex. The construction leads to new orthogonality properties or to generalization of known ones to the complex plane. [Permanent link] CARMA COLLOQUIUM Speaker: Andrew Rechnitzer, University of British Colombia Title: Bounding the entropy of hard squares Location: V205, Mathematics Building (Callaghan), The University of Newcastle Time and Date: 4:00 pm, Thu, 3rd Mar 2016 Abstract: Start labelling the vertices of the square grid with 0's and 1's with the condition that any pair of neighbouring vertices cannot both be labelled 1. If one considers the 1's to be the centres of small squares (rotated 45 degrees) then one has a picture of square-particles that cannot overlap. This problem of "hard-squares" appears in different areas of mathematics - for example it has appeared separately as a lattice gas in statistical mechanics, as independent sets in combinatorics and as the golden-mean shift in symbolic dynamics. A core question in this model is to quantify the number of legal configurations - the entropy. In this talk I will discuss the what is known about the entropy and describe our recent work finding rigorous and precise bounds for hard-squares and related problems. This is work together with Yao-ban Chan. [Permanent link] CARMA CONFERENCE Australasian Conference on Combinatorial Mathematics and Combinatorial Computing Location: , University House (City Campus), The University of Newcastle Dates: Mon, 12th Dec 2016 - Fri, 16th Dec 2016 For details, please visit the conference web page. [Permanent link]

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