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20072022
most citedConnectivity and tree structure in finite graphs

43 citations · 235 across the 46 of their papers we have counts for

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Showing 2019 · math.COShow all

6 papers · 2 filters

math.CO2019★ 3 cited

Kalai's conjecture in -partite -graphs

Maya Stein

Kalai conjectured that every -vertex -uniform hypergraph with more than edges contains all tight -trees of some fixed size . We prove Ka…

math.CO2019

Tree containment and degree conditions

Maya Stein

We survey results and open problems relating degree conditions with tree containment in graphs, random graphs, digraphs and hypergraphs, and their applications in Ramsey theory.

math.CO2019★ 11 cited

Clique immersions and independence number

Sebastián Bustamante, Daniel A. Quiroz, Maya Stein +1

The analogue of Hadwiger's conjecture for the immersion order states that every graph contains as an immersion. If true, it would imply that every graph with ver…

math.CO2019

On the Erdős-Sós conjecture for trees with bounded degree

Guido Besomi, Matías Pavez-Signé, Maya Stein

We prove the Erd\H os--Sós conjecture for trees with bounded maximum degree and large dense host graphs. As a corollary, we obtain an upper bound on the multicolour Ramsey number o…

math.CO2019★ 3 cited

Spanning Trees in Graphs of High Minimum Degree with a Universal Vertex II: A Tight Result

Bruce Reed, Maya Stein

We prove that, if is sufficiently large, every graph on vertices that has a universal vertex and minimum degree at least contains each tree…

math.CO2019

Spanning Trees in Graphs of High Minimum Degree with a Universal Vertex I: An Asymptotic Result

Bruce Reed, Maya Stein

In this paper and a companion paper, we prove that, if is sufficiently large, every graph on vertices that has a universal vertex and minimum degree at least $\lfloor \fr…