## A Combinatorial Object

#### Tutte 12-cage

**Vertices:** 126

**Edges:** 189

**Diameter:** 6

**Girth:** 12

**Automorphisms:**

12096

**Chromatic number:** 2

**Chromatic index:** 3

**Properties:**

Cubic, Cage, Hamiltonian, Semi-symmetric, Bipartite

Publications

**R. Ahangari Maleki (Joint with L. M. Sega), **

*The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension*

#### J. Algebra 551(2020), 232-284

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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 (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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**Hamid Reza. Daneshpajouh, **

*On the chromatic number of generalized Kneser hypergraphs*

#### European J. Combin. 81(2019), 150-155

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**E. Ghorbani (Joint with M. Andelic and S. K. Simic), **

*Vertex types in threshold and chain graphs*

#### Discrete Appl. Math. 269(2019), 159-168

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**A. Mohammadian and B. Tayfeh-Rezaie, **

*Hadamard matrices with few distinct types*

#### Linear Multilinear Algebra 67(2019), 1596-1605

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**R. Javadi (Joint with X. Niu and H. Cao), **

*The spectrum for large sets of $(3,\lambda$)-GDDs of type $g^{u}$*

#### J. Combin. Des. 26(2018), 616-639

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**M. Alishahi, **

*A generalization of Gale's lemma*

#### J. Graph Theory 88(2018), 337-346

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**M. Alishahi, **

*On the random version of the Erdos matching conjecture*

#### Discrete Appl. Math. (to appear)

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**M. R. Oboudi, **

*Majorization and the spectral radius of starlike trees*

#### J. Comb. Optim. 36(2018), 121-129

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**M. R. Oboudi, **

*Some results on the independence polynomial of unicycle graphs*

#### Discussiones Mathematicae Graph Theory 38(2018), 515-524

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**A. Abdollahi (Joint with F. Jafari), **

*Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups*

#### Comm. Algebra (to appear)

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**G.R. Omidi, **

*On a Question of Erdos and Faudree on the size Ramsey Numbers*

#### SIAM J. Discrete Math. (to appear)

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