Bounds on the order of biregular graphs with even girth at least 8

نویسندگان

  • Gloria López-Chávez
  • Gabriela Araujo-Pardo
  • Luis Pedro Montejano
  • Camino Balbuena
چکیده

Let 2 ≤ r < m and g ≥ 4 even be three positive integers. A graph with a degree set {r,m}, girth g and minimum order is called a bi-regular cage or an ({r,m}; g)-cage, and its order is denoted by n({r,m}; g). In this paper we obtain constructive upper bounds on n({r,m}; g) for some values of r,m and even girth at least 8.

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عنوان ژورنال:
  • Electronic Notes in Discrete Mathematics

دوره 40  شماره 

صفحات  -

تاریخ انتشار 2013