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- W2611510550 abstract "The topological containment problem is known to be polynomial-time solvable for any fixed pattern graph $H$, but good characterisations have been found for only a handful of non-trivial pattern graphs. The complete graph on five vertices, $K_5$, is one pattern graph for which a characterisation has not been found. The discovery of such a characterisation would be of particular interest, due to the Hajos Conjecture. One step towards this may be to find a good characterisation of graphs that do not topologically contain the simpler pattern graph $K_5^-$, obtained by removing a single edge from $K_5$. This paper makes progress towards achieving this, by showing that every 4-connected graph must contain a $K_5^-$-subdivision." @default.
- W2611510550 created "2017-05-12" @default.
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- W2611510550 date "2017-05-03" @default.
- W2611510550 modified "2023-09-27" @default.
- W2611510550 title "Topological containment of the 5-clique minus an edge in 4-connected graphs." @default.
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