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Conditionally optimal approximation algorithms for the girth of a directed graph
Published 2021“…Fast good quality approximation algorithms for undirected graphs have been known for decades. …”
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Tight approximation algorithms for bichromatic graph diameter and related problems
Published 2021“…We give the first nontrivial approximation algorithms for most of these problems, including time/accuracy trade-off upper and lower bounds. …”
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Finding Patterns, Short Cycles and Long Shortest Paths in Graphs
Published 2022“…Our result shows that any better than 2-approximation algorithm for the diameter requires super linear time. …”
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Thesis