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<p>A mixed line graph of a mixed graph generalizes the notion of a line graph of an ordinary graph. The Krausz theorem on covering characterization of line graphs and a restricted variant of the Whitney theorem on isomorphism are formulated and proved in the framework of mixed line graphs. Moreover, we extend the notion of a mixed graph by allowing the existence of edges that are oriented away from each of their ends. The mentioned theorems are formulated and proved in this setting, as well.</p>

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A note on the Krausz theorem and the Whitney theorem for mixed line graphs

  • 期刊论文

  • 发表日期：

    2026年1月15日

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  • Zoran Stanić

摘要

A mixed line graph of a mixed graph generalizes the notion of a line graph of an ordinary graph. The Krausz theorem on covering characterization of line graphs and a restricted variant of the Whitney theorem on isomorphism are formulated and proved in the framework of mixed line graphs. Moreover, we extend the notion of a mixed graph by allowing the existence of edges that are oriented away from each of their ends. The mentioned theorems are formulated and proved in this setting, as well.