SPER
发表于 2025-3-28 17:40:15
Noncrossing GraphsRecall that the associahedron A. is the complex of graphs on the vertex set [.] without crossings and boundary edges. The associahedron was introduced by Stasheff . We discuss the associahedron and some related dihedral properties, all defined in terms of crossing avoidance.
Minikin
发表于 2025-3-28 19:29:29
Disconnected GraphsWe examine the complex NC. of disconnected graphs on . vertices. We also consider subcomplexes consisting of graphs with certain restrictions on the vertex size of the connected components.
白杨
发表于 2025-3-29 02:16:49
Jakob JonssonIncludes supplementary material:
Agronomy
发表于 2025-3-29 06:23:44
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演讲
发表于 2025-3-29 10:56:57
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congenial
发表于 2025-3-29 13:15:09
Book 2008, including commutative algebra, geometry, and knot theory. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homol
opinionated
发表于 2025-3-29 15:37:18
Introduction and Overviewedges. Equivalently, a graph complex Α has the property that if . ∈ Α and . is an edge in ., then the graph obtained from . by removing e is also in Α. Since the vertex set is fixed, we may identify each graph in Α with its edge set and hence interpret Α as a simplicial complex. In particular, we ma
巫婆
发表于 2025-3-29 23:25:28
Abstract Graphs and Set Systemsgraphs, and hypergraphs. Section 2.2 is devoted to posets and lattices. We proceed with abstract simplicial complexes in Section 2.3 and conclude the chapter with some matroid theory in Section 2.4 and a few words about integer partitions in Section 2.5.
弯弯曲曲
发表于 2025-3-30 00:13:14
Discrete Morse Theory has proven to be a powerful tool for analyzing the topology of a wide range of different complexes . For an interesting application of discrete Morse theory to geometry, see Crowley .
仔细检查
发表于 2025-3-30 07:30:07
Miscellaneous Resultstion 6.2 contains a discussion about the concept of depth, whereas Section 6.3 deals with the related concept of vertex-decomposability. In Section 6.4 at the end of the chapter, we present a few simple enumerative results.