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New classes of graphs with strongly almost trivial embeddings

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A spatial embedding $f$ of a graph $G$ is strongly almost trivial if $f$ is nontrivial and there exists a projection $\hat{f}$ of $f$ such that only trivial spatial embeddings are obtained from $\hat{f}|_H$ by assigning over/under information to transversal double points for any proper subgraph $H$ of $G$. We present new classes of graphs which have strongly almost trivial embeddings.

Abstract

A spatial embedding $f$ of a graph $G$ is strongly almost trivial if $f$ is nontrivial and there exists a projection $\hat{f}$ of $f$ such that only trivial spatial embeddings are obtained from $\hat{f}|_H$ by assigning over/under information to transversal double points for any proper subgraph $H$ of $G$. We present new classes of graphs which have strongly almost trivial embeddings.

참고문헌 (15)

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