International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Review Papers | Mathematics | India | Volume 4 Issue 5, May 2015 | Popularity: 6.6 / 10


     

Albertson's Conjecture on Crossing Numbers

Tessy Cardoz, Renukadevi.V, Malarvizhi.P


Abstract: In this paper, we prove the Albertson-s Conjecture which states that -If graph G has chromatic number r, then the crossing number of G is atleast that of the Kr- for 7 - r - 10 using results of Dirac, Gallai and Kostochka Stiebitz and Pach et al.


Keywords: Crossing number, complete graph, critical graph, lower bound


Edition: Volume 4 Issue 5, May 2015


Pages: 1091 - 1094



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Tessy Cardoz, Renukadevi.V, Malarvizhi.P, "Albertson's Conjecture on Crossing Numbers", International Journal of Science and Research (IJSR), Volume 4 Issue 5, May 2015, pp. 1091-1094, https://www.ijsr.net/getabstract.php?paperid=SUB154344, DOI: https://www.doi.org/10.21275/SUB154344



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