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Create a ShareLaTeX account here.
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Create a New Project, and compile the following test file.
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ShareLaTeX also has resources for starting out with LaTeX here.
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The WikiBook on LaTeX is another great resource here.
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Here is another overview.
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TeX up the proof for \( \lambda_{\max}(L(G)) \leq 2\Delta \).
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Pick a final project idea.
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