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Volumn 47, Issue 1, 2004, Pages 53-72

The crossing number of Cm × Cn is as conjectured for n ≥ m(m+1)

Author keywords

Cartesian product of cycles; Crossing number; Graph drawing

Indexed keywords

COMBINATORIAL MATHEMATICS; GRAPH THEORY; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; OPTIMIZATION; THEOREM PROVING;

EID: 4444382166     PISSN: 03649024     EISSN: None     Source Type: Journal    
DOI: 10.1002/jgt.20016     Document Type: Article
Times cited : (47)

References (15)
  • 1
    • 4444252059 scopus 로고    scopus 로고
    • Ph.D. Thesis, Carleton University
    • J. Adamsson, Ph.D. Thesis, Carleton University, 2000.
    • (2000)
    • Adamsson, J.1
  • 5
    • 0040722456 scopus 로고
    • On the crossing numbers of products of cycles and graphs of order four
    • L. W. Beineke and R. D. Ringeisen, On the crossing numbers of products of cycles and graphs of order four, J Graph Theory 4 (1980), 145-155.
    • (1980) J Graph Theory , vol.4 , pp. 145-155
    • Beineke, L.W.1    Ringeisen, R.D.2
  • 7
    • 0038944461 scopus 로고
    • Toroidal graphs with arbitrarily high crossing numbers
    • F. Harary, P. C. Kainen, and A. J. Schwenk, Toroidal graphs with arbitrarily high crossing numbers, Nanta Math 6 (1973), 58-67.
    • (1973) Nanta Math , vol.6 , pp. 58-67
    • Harary, F.1    Kainen, P.C.2    Schwenk, A.J.3
  • 8
    • 84867473536 scopus 로고    scopus 로고
    • Crossing-critical graphs and path-width
    • P. Hliněný, Crossing-critical graphs and path-width, Lecture Notes in Comput Sci 2265 (2002), 102-114.
    • (2002) Lecture Notes in Comput Sci , vol.2265 , pp. 102-114
    • Hliněný, P.1
  • 9
    • 0037673584 scopus 로고    scopus 로고
    • Crossing-number critical graphs have bounded path-width
    • P. Hliněný, Crossing-number critical graphs have bounded path-width, J Combin Theory, Series B 88 (2003), 347-367.
    • (2003) J Combin Theory, Series B , vol.88 , pp. 347-367
    • Hliněný, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.