Bond-node structures: rigidity, combinatorics and chemistry

Monday 4th–Wednesday 6th June 2018

The analysis of the rigidity and flexibility of bond-node structures and skeletal frameworks may be traced back to the fundamental theoretical work of Cauchy and Euler and their considerations of polyhedra with hinged faces. In more recent times periodic bond-node frameworks and their symmetries feature in crystal structure classification and crystal databases. Also, infinite bar-joint frameworks play a vital role in mathematical models for phonon modes and phase transitions, with framework bars representing strong bonds between atoms or rigid polyhedral units.

Following recent work of chemists and mathematicians there is now great potential for novel methods in materials science which exploit new invariants, new approaches to rigidity and new understanding of symmetry and rigidity. At the same time the computation of new mathematical indices and invariants will benefit from the computational methodologies in reticular chemistry.

This year's meeting will once again include an applied theme, namely entangled crystal frameworks, and it will bring together specialists in discrete mathematics, in rigidity and symmetry, and in reticular chemistry.

The workshop begins after lunch on the Monday and finishes on Wednesday afternoon. The location is the Postgraduate Statistics Centre and all talks take place in the lecture theatre (room A54).


We will have 4 plenary talks:

  • Igor Baburin (Technische Universitat Dresden)
  • Davide Proserpio (University of Milan)
  • Ileana Streinu (Smith College)
  • Shin-ichi Tanigawa (University of Tokyo)

These will be complemented by a range of shorter talks.


  • Senja Dominique Barthel (EPFL)
  • Ciprian Borcea (Rider University)
  • Katie Clinch (University of Tokyo)
  • Jim Cruickshank (NUI Galway)
  • Sean Dewar (Lancaster University)
  • Bartzos Evangelos (University of Athens)
  • Patrick Fowler (University of Sheffield)
  • Georg Grasegger (RICAM / JKU)
  • Simon Guest (University of Cambridge)
  • Zeyuan He (University of Cambridge)
  • Bill Jackson (Queen Mary University of London)
  • Tibor Jordan (Eotvos Lorand University)
  • Oleg Karpenkov (University of Liverpool)
  • Eleftherios Kastis (Lancaster University)
  • Viktoria Kaszanitzky (Budapest University of Technology and Economics and Eotvos Lorand University)
  • Csaba Kiraly (MTA-ELTE Egervary Research Group on Combinatorial Optimization and Eotvos Lorand University)
  • Derek Kitson (Lancaster University)
  • Jan Legersky (RISC, JKU)
  • Tony Nixon (Lancaster University)
  • John Owen (Siemens)
  • Steve Power (Lancaster University)
  • Daniel Robertz (University of Plymouth)
  • Bernd Schulze (Lancaster University)
  • Josef Schicho (RISC, JKU)
  • Hattie Serocold (Lancaster University)
  • Qays Shakir (NUI Galway)
  • Meera Sitharam (University of Florida)
  • Louis Theran (University of St Andrews)

Organisers: Derek Kitson, Tony Nixon, Steve Power (chair), Bernd Schulze

This meeting is supported by an EPSRC grant 'Infinite bond-node frameworks', a Small Grant from the Institute of Mathematics and its Applications, and the Department of Mathematics and Statistics, Lancaster University.