Combinatorial group

Here you can find the outputs of the project *Embedding, Packing and Limits in Graphs*, project number GA19-08740S, funded by the Czech Science foundation. For other outputs, please visit this page.
In bold you find the authors that were supported by the grant.
## Preprints

On a Conjecture of Erdos on Size Ramsey Number of Star Forests, **A. Davoodi**, R. Javadi, A. Kamranian, G. Raeisi

The tree packing conjecture for trees of almost linear maximum degree, P. Allen, J. Böttcher, D. Clemens, J. Hladký, **D. Piguet**, A. Taraz

On sufficient conditions for Hamiltonicity in dense graphs, R. Lang, **N. Sanhueza-Matamala**

Towards a hypergraph version of the Pósa-Seymour conjecture, M. Pavez-Signé, **N. Sanhueza-Matamala**, M. Stein

Dirac-type conditions for spanning bounded-degree hypertrees, M. Pavez-Signé, **N. Sanhueza-Matamala**, M. Stein

## Accepted

On the total versions of 1-2-3-conjecture for graphs and hypergraphs, **A. Davoodi**, L. Maherani, accepted to *Discrete Applied Mathematics*

Cycle decompositions in 3-uniform hypergraphs, S. Piga, **N. Sanhueza-Matamala**, accepted to *Combinatorica*

## Published

Minimum degree conditions for tight Hamilton cycles, R. Lang, **N. Sanhueza-Matamala**, *Journal of the London Mathematical Society*, Volume 105, Issue 4, pp. 2249-2323 (2022)

Counting extensions revisited, **M. Šileikis**, L. Warnke, *Random Structures & Algorithms, *Volume 61, Issue 1, pp. 3-30 (2022)

Fractional Isomorphism of Graphons, J. Grebík, **I. Rocha**, *Combinatorica*, Volume 42, pp. 365-404 (2022)

Universal arrays, M. Pavez-Signé, D. A. Quiroz, **N. Sanhueza-Matamala**, *Discrete Mathematics* Volume 334, Issue 12 (2021), 112626

Longest paths in random hypergraphs, O. Cooley, F. Garbe, E. K. Hng, M. Kang, **N. Sanhueza-Matamala**, J. Zalla, *SIAM Journal on Discrete Mathematics * 35(4) (2021), 2430–2458

A limit theorem for small cliques in inhomogeneous random graphs,
J. Hladký, C. Pelekis, **M. Šileikis**
*Journal of Graph Theory*, online first: 28 March 2021, DOI:10.1002/jgt.22673

Brouwer's conjecture holds asymptotically almost surely, **I. Rocha**, *Linear Algebra Appl.* 597 (2020) 198–205

## Conference Proceedings

On sufficient conditions for Hamiltonicity, R. Lang and **N. Sanhueza-Matamala**, accepted tp *Research Perspectives CRM Barcelona*, Proceedings of EUROCOMB 2021

Degree conditions for tight Hamilton cycles, R. Lang and **N. Sanhueza-Matamala**, accepted tp *Research Perspectives CRM Barcelona*, Proceedings of EUROCOMB 2021

Dirac-type conditions for spanning bounded-degree hypertrees, M. Pavez-Signé, **N. Sanhueza-Matamala**, and M. Stein, accepted tp *Research Perspectives CRM Barcelona*, Proceedings of EUROCOMB 2021.