What option do I need to get a wavy arrow between two points:
\documentclass{article}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{mathrsfs}
\usepackage{textcomp}
\usetikzlibrary{arrows}
\usetikzlibrary{decorations.pathmorphing}
\pagenumbering{gobble}
\begin{document}
\centering
\vfill
\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=3cm,
thick,main node/.style={circle,fill=#1!0,draw,font=\sffamily\Large\bfseries}]
\node[main node=black] (1) {a};
\node[main node=black](2)[right of=1]{b};
\path[every node/.style={font=\sffamily\small}]
(1) edge[<<<WAVY ARROW OPTION>>>, very thick, color=blue] node [] {} (2)
;
\end{tikzpicture}
\end{document}
I assume the fix is an easy option where I've put <<<WAVY ARROW OPTION>>>.

\begin{tikzpicture}[decoration=snake] \draw [help lines] grid (3,2); \draw [decorate,fill=yellow!80!black] (0,0) -- (3,1) arc (0:180:1.5 and 1) -- cycle; \end{tikzpicture}. For it you need to load librarydecorations.pathmorphing. – Zarko Jan 08 '17 at 18:48(options)is? – Domemy Jan 08 '17 at 18:52(1) edge[decoration=snake, very thick, color=black]node[]{}(2)??? – Domemy Jan 08 '17 at 18:56documentclass{...}and end with\end{document}. Than someone her (including me) can help you in solving of your problem. – Zarko Jan 08 '17 at 19:04(1) edge[snake,very thick, color=black]node[]{} (2)works if you includesnakesbut it's more of a zigzag. That is,\usetikzlibrary{arrows,snakes,backgrounds}to be more specific. – Domemy Jan 08 '17 at 19:19