Event
Dagstuhl Seminar 19401 (2019 : Dagstuhl, Germany)Volume
9Issue
9Pagination
135 - 155Publisher
DROPSLocation
Dagstuhl, GermanyPlace of publication
Dagstuhl, GermanyStart date
2019-09-29End date
2019-10-04ISSN
2192-5283Language
engResearch statement
This report documents the programme and outcomes of Dagstuhl Seminar 19401 ``Comparative Theory for Graph Polynomials''. The study of graph polynomials has become increasingly active, with new applications and new graph polynomials being discovered each year. The genera of graph polynomials are diverse, and their interconnections are rich. Experts in the field are finding that proof techniques and results established in one area can be successfully extended to others. From this a general theory is emerging that encapsulates the deeper interconnections between families of graph polynomials and the various techniques, computational approaches, and methodologies applied to them. The overarching aim of this Seminar was to exploit commonalities among polynomial invariants of graphs, matroids, and related combinatorial structures. Model-theoretic, computational and other methods were used in order to initiate a comparative theory that collects the current state of knowledge into a more cohesive and powerful framework.Publication classification
E1 Full written paper - refereedTitle of proceedings
Dagstuhl Reports
