\documentclass[12pt]{article}
\usepackage{amsmath,mathrsfs,bbm}
\usepackage{amssymb}
\textwidth=4.825in
\overfullrule=0pt
\thispagestyle{empty}

\begin{document}
\noindent
%
%
{\bf Mirka Miller}
%
%

\medskip
\noindent
%
%
{\bf Nonexistence of Graphs with Cyclic Defect}
%
%

\vskip 5mm
\noindent
%
%
%
%
In this note we consider graphs of maximum degree $\Delta$, diameter
$D$ and order ${\rm M}(\Delta,D) - 2$, where ${\rm M}(\Delta,D)$ is
the {\it Moore bound}, that is, graphs of {\it defect} 2. 
Delorme and Pineda-Villavicencio conjectured that such
graphs do not exist for $D\geq 3$ if they have the so called `cyclic
defect'. Here we prove that this conjecture holds.

\end{document}

.