All reports by Author Andrew Stolman:

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TR21-008
| 30th January 2021
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Akash Kumar, C. Seshadhri, Andrew Stolman#### Random walks and forbidden minors III: poly(d/?)-time partition oracles for minor-free graph classes

Revisions: 3

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TR19-046
| 1st April 2019
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Akash Kumar, C. Seshadhri, Andrew Stolman#### andom walks and forbidden minors II: A $\poly(d\eps^{-1})$-query tester for minor-closed properties of bounded degree graphs

Revisions: 1

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TR18-148
| 25th August 2018
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Akash Kumar, C. Seshadhri, Andrew Stolman#### Finding forbidden minors in sublinear time: a $n^{1/2+o(1)}$-query one-sided tester for minor closed properties on bounded degree graphs

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TR18-101
| 20th May 2018
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Akash Kumar, C. Seshadhri, Andrew Stolman#### Finding forbidden minors in sublinear time: a $O(n^{1/2+o(1)})$-query one-sided tester for minor closed properties on bounded degree graphs

Akash Kumar, C. Seshadhri, Andrew Stolman

Consider the family of bounded degree graphs in any minor-closed family (such as planar graphs). Let d be the degree bound and n be the number of vertices of such a graph. Graphs in these classes have hyperfinite decompositions, where, for a sufficiently small ? > 0, one removes

?dn ...
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Akash Kumar, C. Seshadhri, Andrew Stolman

Let $G$ be a graph with $n$ vertices and maximum degree $d$. Fix some minor-closed property $\mathcal{P}$ (such as planarity).

We say that $G$ is $\varepsilon$-far from $\mathcal{P}$ if one has to remove $\varepsilon dn$ edges to make it have $\mathcal{P}$.

The problem of property testing $\mathcal{P}$ was introduced in ...
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Akash Kumar, C. Seshadhri, Andrew Stolman

Let $G$ be an undirected, bounded degree graph

with $n$ vertices. Fix a finite graph $H$, and suppose one must remove $\varepsilon n$ edges from $G$ to make it $H$-minor free (for some small constant $\varepsilon > 0$). We give an $n^{1/2+o(1)}$-time randomized procedure that, with high probability, finds an ...
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Akash Kumar, C. Seshadhri, Andrew Stolman

We give an $n^{1/2+o(1)}$-time randomized procedure that, with high probability, finds an ...
more >>>