Search Results for author: Amir Nayyeri

Found 4 papers, 1 papers with code

Comparing Graph Transformers via Positional Encodings

no code implementations22 Feb 2024 Mitchell Black, Zhengchao Wan, Gal Mishne, Amir Nayyeri, Yusu Wang

The distinguishing power of graph transformers is closely tied to the choice of positional encoding: features used to augment the base transformer with information about the graph.

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Understanding Oversquashing in GNNs through the Lens of Effective Resistance

1 code implementation14 Feb 2023 Mitchell Black, Zhengchao Wan, Amir Nayyeri, Yusu Wang

We propose to use total effective resistance as a bound of the total amount of oversquashing in a graph and provide theoretical justification for its use.

On Cyclic Solutions to the Min-Max Latency Multi-Robot Patrolling Problem

no code implementations14 Mar 2022 Peyman Afshani, Mark De Berg, Kevin Buchin, Jie Gao, Maarten Loffler, Amir Nayyeri, Benjamin Raichel, Rik Sarkar, Haotian Wang, Hao-Tsung Yang

For the Euclidean version of the problem, for instance, combining our results with known results on Euclidean TSP, yields a PTAS for approximating an optimal cyclic solution, and it yields a $(2(1-1/k)+\varepsilon)$-approximation of the optimal unrestricted solution.

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