Amin Bahmanian

activity

20172022

most citedMultiply Balanced Edge Colorings of Multigraphs

25 citations · 61 across the 8 of their papers we have counts for

collaborators

10 papers

math.CO2022

Embedding Irregular Colorings into Connected Factorizations

Amin Bahmanian, Anna Johnsen

For $r := (r_{1}, \dots, r_{k})$ , an $r$ -factorization of the complete $λ$ -fold $h$ -uniform $n$ -vertex hypergraph $λ K_{n}^{h}$ is a partition of (the edges of) $λ K_{n}^{h}$ into $F_{1}, \dots, F_{k}$ s…

math.CO2022

Symmetric Layer-Rainbow Colorations of Cubes

Amin Bahmanian

Can we color the $n^{3}$ cells of an $n \times n \times n$ cube $L$ with $n^{2}$ colors in such a way that each layer parallel to each face contains each color exactly once and that the…

math.CO2022

On Factors with Prescribed Degrees in Bipartite Graphs

Amin Bahmanian

We establish a new criterion for a bigraph to have a subgraph with prescribed degree conditions. We show that the bigraph $G [X, Y]$ has a spanning subgraph $F$ such that $g(x)\leq d…

math.CO2022★ 1 cited

Ryser's Theorem for $ρ$ -latin Rectangles

Amin Bahmanian

Let $L$ be an $n \times n$ array whose top left $r \times s$ subarray is filled with $k$ different symbols, each occurring at most once in each row and at most once in each column. W…

math.CO2018

Resolvable Cycle Decompositions of Complete Multigraphs and Complete Equipartite Multigraphs via Layering and Detachment

Amin Bahmanian, Mateja Šajna

We construct new resolvable decompositions of complete multigraphs and complete equipartite multigraphs into cycles of variable lengths (and a perfect matching if the vertex degree…

math.CO2018

Partitioning The Edge Set of a Hypergraph Into Almost Regular Cycles

Amin Bahmanian, Sadegheh Haghshenas

A cycle of length $t$ in a hypergraph is an alternating sequence $v_{1}, e_{1}, v_{2} \dots, v_{t}, e_{t}$ of distinct vertices $v_{i}$ and distinct edges $e_{i}$ so that $\{v_i,v_{i+1}\}\subseteq e_…

Embedding Irregular Colorings into Connected Factorizations

Symmetric Layer-Rainbow Colorations of Cubes

On Factors with Prescribed Degrees in Bipartite Graphs

Ryser's Theorem for ρ-latin Rectangles

Resolvable Cycle Decompositions of Complete Multigraphs and Complete Equipartite Multigraphs via Layering and Detachment

Partitioning The Edge Set of a Hypergraph Into Almost Regular Cycles

Ryser's Theorem for $ρ$ -latin Rectangles