The crossing number of  K  11  is 100 | Zendy

Pan Shengjun | Zendy; Richter R. Bruce | Zendy

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The crossing number of K 11 is 100

Author(s) -

Pan Shengjun,

Richter R. Bruce

Publication year - 2007

Publication title -

journal of graph theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 54

eISSN - 1097-0118

pISSN - 0364-9024

DOI - 10.1002/jgt.20249

Subject(s) - crossing number (knot theory) , combinatorics , mathematics , simple (philosophy) , graph , exploit , graph theory , discrete mathematics , computer science , philosophy , intersection (aeronautics) , computer security , epistemology , engineering , aerospace engineering

The crossing number of K n is known for n ⩽ 10. We develop several simple counting properties that we shall exploit in showing by computer that cr ( K 11 = 100, which implies that cr ( K 12 ) = 150. We also determine the numbers of non‐isomorphic optimal drawings of K 9 and K 10 . © 2007 Wiley Periodicals, Inc. J Graph Theory 56: 128–134, 2007

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