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arxiv: 1211.3929 · v4 · pith:EL5BZ7O5new · submitted 2012-11-16 · 🧮 math.CO · cs.DM

Fat Hoffman graphs with smallest eigenvalue greater than -3

classification 🧮 math.CO cs.DM
keywords graphshoffmaneigenvaluegreatermathfraksmallestcharacterizationcombinatorial
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In this paper, we give a combinatorial characterization of the special graphs of fat Hoffman graphs containing $\mathfrak{K}_{1,2}$ with smallest eigenvalue greater than -3, where $\mathfrak{K}_{1,2}$ is the Hoffman graph having one slim vertex and two fat vertices.

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