## A Combinatorial Object

#### Coxeter Graph

**Vertices:** 28

**Edges:** 42

**Radius:** 4

**Diameter:** 4

**Girth:** 7

**Automorphisms:**

336 (PGL_{2}(7))

**Chromatic number:** 3

**Chromatic index:** 3

**Properties:**

Symmetric, Distance-regular, Distance-transitive, Cubic, Hypohamiltonian

Publications

**M. Alishahi (Joint with F. Meunier), **

*Topological bounds for graph representations over any field*

#### SIAM J. Discrete Math. 35(2021), 91-104

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**R. Javadi (Joint with S. Ashkboos), **

*Multi-way sparsest cut problem on trees with a control on the number of parts and outliers*

#### Discrete Appl. Math. 289(2021), 281-291

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**M. R. Bidgoli and B. Tayfeh-Rezaie (Joint with A. Mohammadian), **

*Percolating sets in bootstrap percolation on the Hamming graphs and triangular graphs*

#### European J. Combin. 92(2021), 16pp

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**A. Mohammadi, **

*Szemer\'{e}di-Trotter type results in arbitrary finite fields*

#### INTEGERS 20(2020), #A7

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**A. Mohammadi, **

* On Growth of the set $A(A+1)$ in arbitrary finite fields *

#### Electron. J. Combin. 27(2020), #P4.3

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**O. Etesami (Joint with S. Mahloujifar and M. Mahmoody), **

*Computational concentration of measure: Optimal bounds, reductions, and more*

#### SODA (2020), DOI: 10.1137/1.9781611975994.21

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**O. Etesami (Joint with W. H. Haemers), **

*On NP-hard graph properties characterized by the spectrum*

#### Discrete Appl. Math. 285(2020), 526-529

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**M. Shahsiah (Joint with M. Miralaei), **

*On the multicolor size Ramsey number of stars and cliques*

#### Discrete Math. 343(2020), 111899

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**H. R. Daneshpajouh, **

*Dold's theorem from viewpoint of strong compatibility graphs*

#### European J. Combin. 85(2020), 103064

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**M. Shahsiah (Joint with L. Maherani), **

*Turan numbers of complete 3-uniform Berge-hypergraphs*

#### Graphs Combin. (to appear)

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**G. R. Omidi and M. Shahsiah (Joint with M. Miralaei), **

*Size Ramsey numbers of stars versus cliques*

#### J. Graph Theory 92(2019), 275-286

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**R. Javadi (Joint with S. Hajebi), **

*Edge clique cover of claw�?�free graphs*

#### J. Graph Theory 90(2019), 311-405

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**O. Etesami, N. Ghareghani and P. Sharifani (Joint with M. Habib, M.R. Hooshmandasl, and R. Naserasr), **

*When an optimal dominating set with given constraints exists*

#### Theoretical Computer Science 780(2019), 54-65

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**G. R. Omidi (Joint with R. Javadi, F. Khoeini, and A. Pokrovskiy), **

*On the size-Ramsey number of cycles*

#### Combin. Probab. Comput. 28(2019), 871-880

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**M. Jazaeri (Joint with E. R. van Dam), **

*Distance-regular Cayley graphs with small valency*

#### Ars Mathematica Contemporanea 17(2019), 203-222

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