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arxiv: math/0701023 · v1 · submitted 2006-12-31 · 🧮 math.CO

On Potentially (K₅-C₄)-graphic Sequences

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keywords graphicpotentiallysequencescharacterizationcharacterizecycleedgesfour
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In this paper, we characterize the potentially $(K_5-C_4)$-graphic sequences where $K_5-C_4$ is the graph obtained from $K_5$ by removing four edges of a 4 cycle $C_4$. This characterization implies a theorem due to Lai [6].

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