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- W2893620968 abstract "The topological minor and the minor relations are well-studied binary relations on the class of graphs. A natural weakening of the topological minor relation is an immersion. An immersion of a graph H into a graph G is a map that injects the vertex set of H into the vertex set of G such that edges between vertices of H are represented by pairwise-edge-disjoint paths of G. In this dissertation, we present two results: the first giving a set of unavoidable immersions of large 3-edge-connected graphs and the second on immersion intertwines of infinite graphs. These results, along with the methods used to prove them, are analogues of results on the graph minor relation. A conjecture for the unavoidable immersions of large 3-edge-connected graphs is also stated with a partial proof." @default.
- W2893620968 created "2018-10-05" @default.
- W2893620968 creator A5027233786 @default.
- W2893620968 date "2022-06-10" @default.
- W2893620968 modified "2023-10-15" @default.
- W2893620968 title "Unavoidable Immersions and Intertwines of Graphs" @default.
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- W2893620968 doi "https://doi.org/10.31390/gradschool_dissertations.4638" @default.
- W2893620968 hasPublicationYear "2022" @default.
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