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Smallest cubic and quartic graphs with a given number of cutpoints and bridges

Author

Listed:
  • Gary Chartrand
  • Farrokh Saba
  • John K. Cooper
  • Frank Harary
  • Curtiss E. Wall

Abstract

For positive integers b and c , with c even, satisfying the inequalities b + 1 ≤ c ≤ 2 b , the minimum order of a connected cubic graph with b bridges and c cutpoints is computed. Furthermore, the structure of all such smallest cubic graphs is determined. For each positive integer c , the minimum order of a quartic graph with c cutpoints is calculated. Moreover, the structure and number of all such smallest quartic graphs are determined.

Suggested Citation

  • Gary Chartrand & Farrokh Saba & John K. Cooper & Frank Harary & Curtiss E. Wall, 1982. "Smallest cubic and quartic graphs with a given number of cutpoints and bridges," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 5, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:238796
    DOI: 10.1155/S0161171282000052
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