A note on module-composed graphs
| dc.creator | Gurski, Frank | |
| dc.date | 2007-05-10 | |
| dc.date | 2007-07-22 | |
| dc.date.accessioned | 2026-07-07T08:19:18Z | |
| dc.date.available | 2026-07-07T08:19:18Z | |
| dc.description | In this paper we consider module-composed graphs, i.e. graphs which can be defined by a sequence of one-vertex insertions v_1,...,v_n, such that the neighbourhood of vertex v_i, 2<= i<= n, forms a module (a homogeneous set) of the graph defined by vertices v_1,..., v_{i-1}. We show that module-composed graphs are HHDS-free and thus homogeneously orderable, weakly chordal, and perfect. Every bipartite distance hereditary graph, every (co-2C_4,P_4)-free graph and thus every trivially perfect graph is module-composed. We give an O(|V_G|(|V_G|+|E_G|)) time algorithm to decide whether a given graph G is module-composed and construct a corresponding module-sequence. For the case of bipartite graphs, module-composed graphs are exactly distance hereditary graphs, which implies simple linear time algorithms for their recognition and construction of a corresponding module-sequence. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0705.1521 | |
| dc.identifier | http://arxiv.org/abs/0705.1521 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134720 | |
| dc.subject | Data Structures and Algorithms | |
| dc.title | A note on module-composed graphs | |
| dc.type | text |