M. Kang

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3 papers · 1 filter

math.CO2026

On Entries of Spectral Decompositions and Applications

Musung Kang

The entries of the spectral idempotents of a graph are its local and crossed local multiplicities. This paper uses these classical quantities in three applications. First, in a gra…

math.CO2026

An Exact Obstruction to Uniform Average Mixing on $P_{11}$

Musung Kang

We prove that the path $P_{11}$ does not admit uniform average mixing under any probability distribution on $R$ , answering a question of Baptista, Coutinho, and Marques in…

math.CO2025

Tree-Line graphs and their quantum walks

Kang Musung

For a simple graph $Γ$ , a (bipartite)tree-line graph and a tree-graph of $Γ$ can be defined. With a (bipartite)tree-line graph constructed by the function $(b) ℓ$ , we study the c…

On Entries of Spectral Decompositions and Applications

An Exact Obstruction to Uniform Average Mixing on P11​

Tree-Line graphs and their quantum walks

An Exact Obstruction to Uniform Average Mixing on $P_{11}$