Trivalent Discrete Surfaces and Carbon Structures

This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature.  In this regard, the topological crystallography founded by Kotani and Sunada is explained by using many examples. Carbon s