## A Combinatorial Object

#### Frucht Graph

**Vertices:** 12

**Edges:** 18

**Radius:** 3

**Diameter:** 4

**Girth:** 3

**Automorphisms:**

1 ({id})

**Chromatic number:** 3

**Chromatic index:** 3

**Properties:**

Cubic, Planar, Hamiltonian

Publications

**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. (to appear)

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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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**A. Davoodi (Joint with E. Gyori and A. Methuku), **

*An Erd\H{o}s-Gallai type theorem for uniform hypergraphs*

#### European J. Combin. 69(2018), 159-162

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

*Hadamard matrices with few distinct types*

#### Linear Multilinear Algebra (to appear)

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**M. R. Oboudi, **

*On the eigenvalues and spectral radius of starlike trees*

#### Aequat. Math. (2018), DOI: 10.1007/s00010-017-0533-4

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

*Star saturation number of random graphs*

#### Discrete Math. 341(2018), 1166-1170

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**H. Hajiabolhassan (Joint with M. Alishahi), **

*Chromatic number of random kneser hypergraphs*

#### J. Combin. Theory Ser. A (to appear)

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**M. R. Oboudi, **

*On the difference between the spectral radius and the maximum degree of graphs*

#### Algebra Discrete Math. 24(2017), 302-307

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**G.R. Omidi and M. Shahsiah, **

*Diagonal Ramsey numbers of loose cycles in uniform hypergraphs*

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

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**G. R. Omidi (Joint with L. Maherani), **

*Monochromatic Hamiltonian Berge-cycles in colored hypergraphs*

#### Discrete Math. (to appear)

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