Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on the Immersion Number of Generalized Mycielski Graphs   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$(\mu_m(K_t))$.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th