\documentclass[11pt,a4paper]{article}
\usepackage{amsmath,amsfonts,euscript,amscd,amsthm,amssymb}
\usepackage[english]{babel}
\usepackage{a4wide}
\usepackage{lscape}
\usepackage{subfigure}
\usepackage{graphicx}
\graphicspath{ {../figs/} }
\setkeys{Gin}{width=\linewidth,keepaspectratio=true}
\usepackage[figuresright]{rotating}
\usepackage{float}
\usepackage{url}
\usepackage{multirow}
\usepackage[all]{xy}
\usepackage{textcomp}
\usepackage[latin1]{inputenc}
\usepackage{pictexwd}

\def\hso{\hspace*{0.5cm}}
\def\R{\hbox{I \kern-.5em R}}\def\no{\noindent}
\def\N{\hbox{I \kern-.5em N}}\def\no{\noindent}
\def\dis{\displaystyle}
\def\lo{\longleftarrow}
\def\u{\underline}
\def\ol{\overline}
\def\R{\hbox{I \kern-.5em R}}\def\no{\noindent}
\def\dis{\displaystyle}
\def\lo{\longleftarrow}
\def\u{\underline}
\def\ol{\overline}
\def\savehline{\hline}
\def\u{\underline}
\def\ol{\overline}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{definition}{Definition}[section]
\newtheorem{proposition}{Proposition}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{lemma}{Lemma}[section]
\newtheorem{example}{Example}[section]
\newtheorem{remark}{Remark}[section]
\newcommand{\ele}{\cal L} \newcommand{\re}{\cal R}  \newcommand{\pe}{\cal P}  \newcommand{\ene}{\cal N}
 \newcommand{\de}{\cal D}  \newcommand{\os}{\cal O}    \newcommand{\ies}{\cal I}
\newcommand{\ka}{\cal K} \newcommand{\A}{\mathrm A} \newcommand{\eme}{\cal
M} \newcommand{\he}{\cal H} \newcommand{\be}{\cal B}
 \newcommand{\efe}{\cal F}

\setlength{\textheight}{22.0cm} \setlength{\multlinegap}{2cm}

% other new commands here


\linespread{1.2}


\newcommand {\gr}  {${\bf G'}=({\bf V'},{\bf E'})$ }
\newcommand {\motif}  {${\bf G^*}=({\bf V^*},{\bf E^*})$ }

\newcommand{\sumi}{\sum_{i=1}^{n_1}}
\newcommand{\sumj}{\sum_{j=1}^{n_2}}

%\def\ad{\mathop{\rm ad}\nolimits}
\def\Ker{\mathop{\rm Ker}\nolimits}
\def\Skew{\mathop{\rm Skew}\nolimits}
\def\Soc{\mathop{\rm Soc}\nolimits}

\newcommand{\bN}{{\mathbb N}}
\newcommand{\bZ}{{\mathbb Z}}
\newcommand{\bR}{{\mathbb R}}
\newcommand{\bH}{{\mathbb H}}
\newcommand{\bC}{{\mathbb C}}
\newcommand{\bO}{{\mathbb O}}
\newcommand{\calJ}{{\mathcal J}}
\newcommand{\calV}{{\mathcal V}}
\newcommand{\frg}{{\mathfrak g}}
\newcommand{\frtg}{{\tilde{\mathfrak g}}}
\newcommand{\frgtetra}{{{\mathfrak g}_{\boxtimes}}}
\newcommand{\frgtetrahat}{{{\mathfrak g}_{\widehat{\boxtimes}}}}
\newcommand{\frh}{{\mathfrak h}}
\newcommand{\fri}{{\mathfrak i}}
\newcommand{\frc}{{\mathfrak c}}
\newcommand{\frd}{{\mathfrak d}}
\newcommand{\frf}{{\mathfrak f}}
\newcommand{\fre}{{\mathfrak e}}
\newcommand{\frt}{{\mathfrak t}}
\newcommand{\frs}{{\mathfrak s}}
\newcommand{\fra}{{\mathfrak a}}
\newcommand{\frb}{{\mathfrak b}}
\newcommand{\frv}{{\mathfrak v}}
\newcommand{\frl}{{\mathfrak l}}
\newcommand{\frz}{{\mathfrak z}}
\newcommand{\frn}{{\mathfrak n}}
\newcommand{\frL}{{\mathfrak L}}
\newcommand{\frgo} {{\frg_{\bar 0}}}
\newcommand{\frguno} {{\frg_{\bar 1}}}
\newcommand{\frgoo}{{\frg_{(\bar 0,\bar 0)}}}
\newcommand{\frgouno}{{\frg_{(\bar 0,\bar 1)}}}
\newcommand{\frgunoo}{{\frg_{(\bar 1,\bar 0)}}}
\newcommand{\frgunouno}{{\frg_{(\bar 1,\bar 1)}}}
\newcommand{\calS}{{\mathcal S}}
\newcommand{\calSf}{{\mathcal S}_{\frf_4}}
\newcommand{\calSe}[1]{{\mathcal S}_{\fre_{#1}}}
\newcommand{\epsf}{\epsilon_{\frf_4}}
\newcommand{\epse}[1]{\epsilon_{\fre_{#1}}}
\newcommand{\calA}{{\mathcal A}}
\newcommand{\calM}{{\mathcal M}}
\newcommand{\calL}{{\mathcal L}}
\newcommand{\calI}{{\mathcal I}}
\newcommand{\calO}{{\mathcal O}}
\newcommand{\calT}{{\mathcal T}}
\newcommand{\calJord}{{\mathcal{J}ord}}
\newcommand{\subo}{_{\bar 0}}
\newcommand{\subuno}{_{\bar 1}}

\newcommand{\bil}{{\textrm{b}}}



\providecommand{\espan}[1]{\text{span}\left\{ #1\right\}}


 \DeclareMathOperator{\tri}{\mathfrak{tri}}
  \DeclareMathOperator{\stri}{\mathfrak{stri}}
   \DeclareMathOperator{\lrt}{\mathfrak{lrt}}
    \DeclareMathOperator{\inlrt}{\mathfrak{inlrt}}
 \DeclareMathOperator{\fro}{\mathfrak{o}}
 \DeclareMathOperator{\frosp}{\mathfrak{osp}}
 \DeclareMathOperator{\frsl}{{\mathfrak{sl}}}
  \DeclareMathOperator{\frsldos}{{{\mathfrak{sl}_2}}}
 \DeclareMathOperator{\frsp}{{\mathfrak{sp}}}
 \DeclareMathOperator{\frso}{{\mathfrak{so}}}
 \DeclareMathOperator{\frpsl}{{\mathfrak{psl}}}
 \DeclareMathOperator{\frgl}{{\mathfrak{gl}}}
 \DeclareMathOperator{\frpgl}{{\mathfrak{pgl}}}
 \DeclareMathOperator{\frsu}{{\mathfrak{su}}}
 \DeclareMathOperator{\frstu}{{\mathfrak{stu}}}
 \DeclareMathOperator{\fru}{{\mathfrak{u}}}
 \DeclareMathOperator{\frj}{{\mathfrak{j}}}

% other Math Operators here

\def\bigstrut{\vrule height 12pt width 0ptdepth 2pt}
\def\hregla{\hrule height.1pt}
\def\hreglabis{\hrule height .3pt depth -.2pt}
\def\hregleta{\hrule height .5pt}
\def\hreglon{\hrule height1pt}
\def\vreglon{\vrule height 12pt width1pt depth 4pt}
\def\vregleta{\vrule width .5pt}
\def\hreglonfill{\leaders\hreglon\hfill}
\def\hreglafill{\leaders\hreglabis\hfill}
\def\hregletafill{\leaders\hregleta\hfill}
\def\vregla{\vrule width.1pt}

% other defs here



\title{\textbf{Title}}

\author{Author One\thanks{Affiliation 1. E-mail:\texttt{author1@affiliation1.com}. Supported by Support 1.}
\and
Author Two\thanks{Affiliation 2. E-mail:\texttt{author2@affiliation2.com}. Supported by Support 2.}
%other authors here
}

\date{}

\begin{document}

\maketitle

\begin{abstract}
Abstract text.
\end{abstract}

%\section{Section 1}

%Text for Section 1.

%\section{Section 2}

%Text for Section 2.

\bibliographystyle{plain}

% Please provide BibTeX file refs.bib with bibliographic references.

\bibliography{refs}

\end{document}
