17 citations · 20 across the 7 of their papers we have counts for
7 papers
On the Relativized Alon Second Eigenvalue Conjecture V: Proof of the Relativized Alon Conjecture for Regular Base Graphs
Joel Friedman, David Kohler
This is the fifth in a series of articles devoted to showing that a typical covering map of large degree to a fixed, regular graph has its new adjacency eigenvalues within the boun…
On the Relativized Alon Second Eigenvalue Conjecture VI: Sharp Bounds for Ramanujan Base Graphs
Joel Friedman, David Kohler
This is the sixth in a series of articles devoted to showing that a typical covering map of large degree to a fixed, regular graph has its new adjacency eigenvalues within the boun…
A Relativized Alon Second Eigenvalue Conjecture for Regular Base Graphs IV: An Improved Sidestepping Theorem
Joel Friedman, David Kohler
This is the fourth in a series of articles devoted to showing that a typical covering map of large degree to a fixed, regular graph has its new adjacency eigenvalues within the bou…
On the Relativized Alon Second Eigenvalue Conjecture III: Asymptotic Expansions for Tangle-Free Hashimoto Traces
Joel Friedman, David Kohler
This is the third in a series of articles devoted to showing that a typical covering map of large degree to a fixed, regular graph has its new adjacency eigenvalues within the boun…
On the Relativized Alon Eigenvalue Conjecture II: Asymptotic Expansion Theorems for Walks
Joel Friedman, David Kohler
This is the second in a series of articles devoted to showing that a typical covering map of large degree to a fixed, regular graph has its new adjacency eigenvalues within the bou…
On the Relativized Alon Second Eigenvalue Conjecture I: Main Theorems, Examples, and Outline of Proof
Joel Friedman, David Kohler
This is the first in a series of six articles devoted to showing that a typical covering map of large degree to a fixed, regular graph has its new adjacency eigenvalues within the…
The Relativized Second Eigenvalue Conjecture of Alon
Joel Friedman, David-Emmanuel Kohler
We prove a relativization of the Alon Second Eigenvalue Conjecture for all -regular base graphs, , with : for any , we show that a random covering map of degree…