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  • Professor of Mathematics Debra Boutin organized a mini-symposium on Embeddings and Geometric Representations of Graphs at the Canadian Discrete and Algorithmic Mathematics at the University of Victoria May 31 - June 3.  She also gave a talk titled "Automorphisms of Geometric Graphs - a retrospective and prospective."  In this talk Boutin presented both earlier work and new directions on the symmetries of networks drawn in two dimensions.

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  • Professor of Mathematics Debra Boutin recently gave two invited talks on an area of her current research. One was an expository talk to a general mathematical audience at St. Michael's College in Vermont. The other was a more technical talk to graph theorists at the Society of Industrial and Applied Mathematics Southeastern Atlantic Section Conference at the University of North Carolina at Charlotte.

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  • Professor of Mathematics Debra Boutin recently published a research article titled "More Results on r-inflated Graphs: Arboricity, Thickness, Chromatic Number, and Fractional Chromatic Number" in Ars Mathematica Contemporanea.

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  • Professor of Mathematics Debra Boutin recently published a research article titled "The thickness and chromatic number of r-inflated graphs" in Discrete Mathematics. In this paper, Boutin and her co-authors Michael Albertson (late of Smith College) and Ellen Gethner (University of Colorado, Denver) introduce their work on networks that are inflated by replacing each vertex in by a set of r mutually connected vertices and replacing each edge between a pair of vertices with all edges between the associated 2r vertices.

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  • Associate Professor of Mathematics Debra Boutin gave an invited talk in a special session on Graph Theory at the recent Eastern Sectional Meeting of the American Math Society at the New Jersey Institute of Technology. In her talk, "The Cost of 2-Distinguishing," Boutin described a set of vertices that can be used to remove all symmetries from a network, and she presented new results on how surprisingly small these sets of vertices can be in some well-known network families.

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  • Associate Professor of Mathematics Debra Boutin gave invited talks at Hobart-William Smith College and at Skimore College over break. In her talk "Graphs and Symmetry" Boutin introduced graphs and their symmetries with the goal of helping the audience to develop intuition about the subject. She then showed some of the questions and results that have arisen in this area in recent years. Boutin's talk at Skidmore College was part of their annual Pi Mu Epsilon ceremony to induct new members. Pi Mu Epsilon is the national mathematics honor society.

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  • Associate Professor of Mathematics Debra Boutin recently published a research article "Determining Sets, Resolving Sets, and the Exchange Property" in Graphs and Combinatorics. In this work, Boutin examines two classes of subsets in a network, each of which can be used to uniquely identify both the vertices and the symmetries of the network. In particular she examines when such subsets are analogous to a basis, a set that is fundamental to other areas of mathematics.

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