caa a22 4500 445855649 CHVBK 20180317145427.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00026-011-0116-3 doi (NATIONALLICENCE)springer-10.1007/s00026-011-0116-3 Expansions for the Bollobás-Riordan Polynomial of Separable Ribbon Graphs [Elektronische Daten] [Stephen Huggett, Iain Moffatt] We define 2-decompositions of ribbon graphs, which generalize 2-sums and tensor products of graphs. We give formulae for the Bollobás-Riordan polynomial of such a 2-decomposition, and derive the classical Brylawski formula for the Tutte polynomial of a tensor product as a (very) special case. This study was initially motivated from knot theory, and we include an application of our formulae to mutation in knot diagrams. Springer Basel AG, 2011 ribbon graph nationallicence embedded graph nationallicence 2-sum nationallicence tensor product nationallicence Tutte polynomial nationallicence Bollobás-Riordan polynomial nationallicence Ribbon graph polynomial nationallicence Jones polynomial nationallicence Huggett Stephen School of Mathematics and Statistics, University of Plymouth, Drake Circus, PL4 8AA, Plymouth, UK aut Moffatt Iain Department of Mathematics and Statistics, University of South Alabama, 36688, Mobile, AL, USA aut Annals of Combinatorics SP Birkhäuser Verlag Basel 15/4(2011-10-01), 675-706 0218-0006 15:4<675 2011 15 26 https://doi.org/10.1007/s00026-011-0116-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00026-011-0116-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Huggett Stephen School of Mathematics and Statistics, University of Plymouth, Drake Circus, PL4 8AA, Plymouth, UK aut NATIONALLICENCE 700 1- Moffatt Iain Department of Mathematics and Statistics, University of South Alabama, 36688, Mobile, AL, USA aut NATIONALLICENCE 773 0- Annals of Combinatorics SP Birkhäuser Verlag Basel 15/4(2011-10-01), 675-706 0218-0006 15:4<675 2011 15 26 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer