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20112019
most citedToughness and prism-hamiltonicity of -free graphs

2 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

math.CO2019★ 2 cited

Toughness and prism-hamiltonicity of -free graphs

M. N. Ellingham, Pouria Salehi Nowbandegani, Songling Shan

The \emph{prism} over a graph is the product , i.e., the graph obtained by taking two copies of and adding a perfect matching joining the two copies of each ver…

math.CO2018★ 1 cited

The Chvátal-Erdős condition for prism-Hamiltonicity

M. N. Ellingham, Pouria Salehi Nowbandegani

The prism over a graph is the cartesian product . It is known that the property of having a Hamiltonian prism (prism-Hamiltonicity) is stronger than that of having…

math.CO2018

Intersections, circuits, and colorability of line segments

Boris Brimkov, Jesse Geneson, Alathea Jensen +2

We derive sharp upper and lower bounds on the number of intersection points and closed regions that can occur in sets of line segments with certain structure, in terms of the numbe…

math.CO2017★ 1 cited

All partitions have small parts - Gallai-Ramsey numbers of bipartite graphs

Haibo Wu, Colton Magnant, Pouria Salehi Nowbandegani +1

Gallai-colorings are edge-colored complete graphs in which there are no rainbow triangles. Within such colored complete graphs, we consider Ramsey-type questions, looking for speci…

math.CO2011

On the Erdős-Gyárfás conjecture in claw-free graphs

Pouria Salehi Nowbandegani, Hossein Esfandiari, Mohammad Hassan Shirdareh Haghighi +1

The Erdős-Gyárfás conjecture states that every graph with minimum degree at least three has a cycle whose length is a power of 2. Since this conjecture has proven to be far from re…