Universal graphs with a forbidden subgraph: Block path solidity

作者:Cherlin Gregory*; Shelah Saharon
来源:Combinatorica, 2016, 36(3): 249-264.
DOI:10.1007/s00493-014-3181-5

摘要

Let C be a finite connected graph for which there is a countable universal C-free graph, and whose tree of blocks is a path. Then the blocks of C are complete. This generalizes a result of Furedi and Komjath, and fits naturally into a set of conjectures regarding the existence of countable C-free graphs, with C an arbitrary finite connected graph.

  • 出版日期2016-6