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- W3162208465 abstract "The immersion number of a graph $G$, denoted im$(G)$, is the largest $t$ such that $G$ has a $K_t$-immersion. In this note we are interested in determining the immersion number of the $m$-Mycielskian of $G$, denoted $mu_m(G)$. Given the immersion number of $G$ we provide a lower bound for im$(mu_m(G))$. To do this we introduce the distinct neighbor property of immersions. We also include examples of classes of graphs where im$(mu_m(G))$ exceeds the lower bound. We conclude with a conjecture about im$(mu_m(K_t))$." @default.
- W3162208465 created "2021-05-24" @default.
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- W3162208465 date "2021-05-12" @default.
- W3162208465 modified "2023-09-27" @default.
- W3162208465 title "A Note on the Immersion Number of Generalized Mycielski Graphs." @default.
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