# A continuation of spanning 2-connected subgraphs in truncated rectangular grid graphs

Salman, A.N.M. and Broersma, H.J. and Rodger, C.A. (2003) *A continuation of spanning 2-connected subgraphs in truncated rectangular grid graphs.* [Report]

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Abstract: | A grid graph is a finite induced subgraph of the infinite 2-dimensi-onal grid defined by and all edges between pairs of vertices from at Euclidean distance precisely 1. An -rectangular grid graph is induced by all vertices with coordinates to and to , respectively. A natural drawing of a (rectangular) grid graph is obtained by drawing its vertices in according to their coordinates. We consider a subclass of the rectangular grid graphs obtained by deleting some vertices from the corners. Apart from the outer face, all (inner) faces of these graphs have area one (bounded by a 4-cycle) in a natural drawing of these graphs. We determine which of these graphs contain a Hamilton cycle, i.e. a cycle containing all vertices, and solve the problem of determining a spanning 2-connected subgraph with as few edges as possible for all these graphs. |

Item Type: | Report |

Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |

Research Group: | |

Link to this item: | http://purl.utwente.nl/publications/65885 |

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