WebbIain Moffatt is a professor of mathematics in Royal Holloway, University of London. His main research interests lie in the interactions between topology and combinatorics. He is especially... Webb12 juli 2011 · Leslie M. McDonald, Iain Moffatt We study the partition function of Potts model in an external (magnetic) field, and its connections with the zero-field Potts model partition function. Using a deletion-contraction formulation for the partition function Z for this model, we show that it can be expanded in terms of the zero-field partition function.

Graphs on Surfaces: Dualities, Polynomials, and Knots - Springer

Webb136 IAIN MOFFATT AND JOHANNA STRÖMBERG RIII RII RI RV RIV (a) The classical moves. (b) The boundary moves. Figure 2. The Reidemeister moves for diagrams of links in RP3. RP3as a ball D3with antipodal points of its boundary identified, lifting the link from RP3to D3and projecting to the equatorial disc D2.Conversely, given a WebbRobert Iain Moffatt is on the board of Crimsonwing Plc. Current positions of Robert Iain Moffatt Robert Iain Moffatt: Personal Network 04/04 Branson's Virgin Orbit files for … food bank herne bay

[1311.2160] Excluded minors and the ribbon graphs of knots

Webb28 juni 2013 · Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs … WebbIain Moffatt Professor Discrete Mathematics and its Applications Head of Department (Mathematics), Department of Mathematics Email Iain.Moffatt @ rhul.ac. uk TW20 0EX … Webb4 Iain Moffatt Main Theorem 2 Let G and H be plane graphs. Then G and H are partial duals if and only if they are related by dual of a join-summand moves. We then apply this theorem in Section8to answerQ3by relating all of the link diagrams represented by the same embedded graphs. We define a summand-flip to be a move food bank hershey pa