{"type":"standard","title":"Bramble (graph theory)","displaytitle":"Bramble (graph theory)","namespace":{"id":0,"text":""},"wikibase_item":"Q4956109","titles":{"canonical":"Bramble_(graph_theory)","normalized":"Bramble (graph theory)","display":"Bramble (graph theory)"},"pageid":36601188,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/3x3_grid_graph_haven.svg/320px-3x3_grid_graph_haven.svg.png","width":320,"height":320},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/3x3_grid_graph_haven.svg/243px-3x3_grid_graph_haven.svg.png","width":243,"height":243},"lang":"en","dir":"ltr","revision":"1247626276","tid":"5ea1249f-7af4-11ef-8fb9-3a78f34e2c5c","timestamp":"2024-09-25T04:12:25Z","description":"Method of graph decomposition","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Bramble_(graph_theory)","revisions":"https://en.wikipedia.org/wiki/Bramble_(graph_theory)?action=history","edit":"https://en.wikipedia.org/wiki/Bramble_(graph_theory)?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Bramble_(graph_theory)"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Bramble_(graph_theory)","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Bramble_(graph_theory)","edit":"https://en.m.wikipedia.org/wiki/Bramble_(graph_theory)?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Bramble_(graph_theory)"}},"extract":"In graph theory, a bramble for an undirected graph G is a family of connected subgraphs of G that all touch each other: for every pair of disjoint subgraphs, there must exist an edge in G that has one endpoint in each subgraph. The order of a bramble is the smallest size of a hitting set, a set of vertices of G that has a nonempty intersection with each of the subgraphs. Brambles may be used to characterize the treewidth of G.","extract_html":"
In graph theory, a bramble for an undirected graph G is a family of connected subgraphs of G that all touch each other: for every pair of disjoint subgraphs, there must exist an edge in G that has one endpoint in each subgraph. The order of a bramble is the smallest size of a hitting set, a set of vertices of G that has a nonempty intersection with each of the subgraphs. Brambles may be used to characterize the treewidth of G.
"}{"slip": { "id": 4, "advice": "Cars are bad investments."}}
{"slip": { "id": 98, "advice": "It's always the quiet ones."}}
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{"type":"standard","title":"Helmut Dähne","displaytitle":"Helmut Dähne","namespace":{"id":0,"text":""},"wikibase_item":"Q97396","titles":{"canonical":"Helmut_Dähne","normalized":"Helmut Dähne","display":"Helmut Dähne"},"pageid":15339919,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/8/82/1976-08-28%2C_D%C3%A4hne%2C_Helmut%2C_Yamaha_TZ_350_ccm.jpg/330px-1976-08-28%2C_D%C3%A4hne%2C_Helmut%2C_Yamaha_TZ_350_ccm.jpg","width":320,"height":210},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/8/82/1976-08-28%2C_D%C3%A4hne%2C_Helmut%2C_Yamaha_TZ_350_ccm.jpg","width":2969,"height":1946},"lang":"en","dir":"ltr","revision":"1236992428","tid":"b4f4fd28-4c2c-11ef-98af-6340716f4217","timestamp":"2024-07-27T15:27:17Z","description":"German motorcycle racer","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Helmut_D%C3%A4hne","revisions":"https://en.wikipedia.org/wiki/Helmut_D%C3%A4hne?action=history","edit":"https://en.wikipedia.org/wiki/Helmut_D%C3%A4hne?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Helmut_D%C3%A4hne"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Helmut_D%C3%A4hne","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Helmut_D%C3%A4hne","edit":"https://en.m.wikipedia.org/wiki/Helmut_D%C3%A4hne?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Helmut_D%C3%A4hne"}},"extract":"Helmut Dähne is a German former motorcycle racer, active not in Grand Prix races, for which the rather tall Dähne (190 cm) is not well suited, but in endurance racing with production machines, comparable to touring cars and rallying with automobiles. From the 1970s to the 1990s, he was active on the longest circuits of motorcycle racing, the over 20 km long Nürburgring Nordschleife, and the over 60 km long Snaefell Mountain Course of the Isle of Man TT.","extract_html":"
Helmut Dähne is a German former motorcycle racer, active not in Grand Prix races, for which the rather tall Dähne (190 cm) is not well suited, but in endurance racing with production machines, comparable to touring cars and rallying with automobiles. From the 1970s to the 1990s, he was active on the longest circuits of motorcycle racing, the over 20 km long Nürburgring Nordschleife, and the over 60 km long Snaefell Mountain Course of the Isle of Man TT.
"}