ぱらぱらめくる『Simplicial Complexes of Graphs』

Simplicial Complexes of Graphs (Lecture Notes in Mathematics)

Simplicial Complexes of Graphs (Lecture Notes in Mathematics)

  • この本はこの学位論文?が元らしい
  • Part I (1,2,3)
  • 1 Introduction and Overview
  • 2 Abstract Graphs and Set Systems
    • Graphs, Hypergraphs, and Digraphs
      • Graphs
      • Paths, Components and Cycles
      • Bipartate Graphs
      • Digraphs
      • Directed Paths and Cycles
      • Hypergraphs, r-uniform hypergraph
      • Covered, Isorated
    • Posets and Lattices
      • Atom, Relation, Chain, Rank, Unique greatest lower bound, Unique least upper bound
      • Partition and Partition lattice
    • Abstract Simplicial Complexes
    • Matroids
    • Integer Partitions
  • 3 Simplicial Topology
    • Basic Definitions
      • void と empty
      • Combinatorically equivalent, homeomorphism
    • Dimension
    • Collapses
    • Joins, Cones, Suspensions, and Wedges