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Methods of combinatorial topology and its applications to combinatorics and graph theory. (Chinese. English summary) Zbl 0790.05025
Summary: Applications of methods of algebraic topology to combinatorics and graph theory are given; the relations between new discrete problems and continuous problems are discussed; some new results and trends are also discussed. This paper deals mainly with the applications of homology theory to graph theory, complexes related to graphs, applications of fixed point theorems to some discrete problems, and so on. Moreover, some new open problems are presented.
MSC:
05C12 Distance in graphs
55N99 Homology and cohomology theories in algebraic topology
54H25 Fixed-point and coincidence theorems (topological aspects)
05C05 Trees
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