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Viewing Preamble for distance (in a graph)

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% This is Cosmin's preamble.

% Packages
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage{amsthm}
\usepackage{mathrsfs}
%\usepackage{graphicx}
%\usepackage{xypic}
%\usepackage{babel}

% Theorem Environments
\newtheorem*{thm}{Theorem}
\newtheorem{thmn}{Theorem}
\newtheorem*{lem}{Lemma}
\newtheorem{lemn}{Lemma}
\newtheorem*{cor}{Corollary}
\newtheorem{corn}{Corollary}
\newtheorem*{prop}{Proposition}
\newtheorem{propn}{Proposition}

\newcommand{\bbN}[1]{\mathbb{#1}}
\DeclareMathOperator{\diam}{diam}
\DeclareMathOperator{\rad}{rad}

% Other Commands
\renewcommand{\geq}{\geqslant}
\renewcommand{\leq}{\leqslant}
\newcommand{\vect}[1]{\boldsymbol{#1}}
\newcommand{\mat}[1]{\mathsf{#1}}
\renewcommand{\div}{\!\mid\!}