05992288

j

05992288 Balbuena, C. Marcote, X. Monotonicity of the order of $(D;g)$-cages. Appl. Math. Lett. 24, No. 11, 1933-1937 (2011). 2011 Elsevier Science Ltd. (Pergamon), Oxford EN cage degree set girth

doi:10.1016/j.aml.2011.05.024

Summary: A $(D;g)$-cage is a graph having degree set $D$, girth $g$, and the minimum possible number of vertices, which is denoted by $n(D;g)$. When $D=\{r\}$ the corresponding $(\{r\};g)$-cage is clearly $r$-regular, and is called an $(r;g)$-cage. In this work we prove that if $g