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The energy of a graph E(G), is the sum of the singular values of its adjacency matrix. We define incidence energy of the graph G, denoted by IE(G), as the sum of the singular values of its incidenceâ€¦ (More)

Polymicrobial bacteremia increased from 6% in 1970 to 13% in 1975 in patients with bloodstream infections. This type of serious infection most commonly complicated genitourinary (27%) andâ€¦ (More)

We show that for the edge ideals of the graphs consisting of one cycle or two cycles of any length connected through a vertex or a path, the arithmetical rank equals the projective dimension.

- Hassan Khodaiemehr, Dariush Kiani, Mohammad-Reza Sadeghi
- 2015 Iran Workshop on Communication andâ€¦
- 2015

LDPC lattices were first family of lattices which have efficient decoding algorithm in high dimensions. An LDPC lattice can be constructed from Construction D' and a number of nested LDPC codes. Whenâ€¦ (More)

- Dariush Kiani, Sara Saeedi Madani
- Electr. J. Comb.
- 2012

We characterize all graphs whose binomial edge ideals have a linear resolution. Indeed, we show that complete graphs are the only graphs with this property. We also compute some graded components ofâ€¦ (More)

- Hassan Khodaiemehr, Dariush Kiani, Mohammad-Reza Sadeghi
- IEEE Transactions on Communications
- 2017

Low-density parity-check (LDPC) lattices were the first family of lattices to show efficient decoding in high dimensions. We consider a case of these lattices with one binary LDPC code as anâ€¦ (More)

- Sara Saeedi Madani, Dariush Kiani
- Electr. J. Comb.
- 2013

We characterize all pairs of graphs (G1, G2), for which the binomial edge ideal JG1,G2 has linear relations. We show that JG1,G2 has a linear resolution if and only if G1 and G2 are complete and oneâ€¦ (More)

- Dariush Kiani, Mohsen Molla Haji Aghaei
- Electr. J. Comb.
- 2012

Let R be a ring with identity. The unitary Cayley graph of a ring R, denoted by GR, is the graph, whose vertex set is R, and in which {x, y} is an edge if and only if x âˆ’ y is a unit of R. In thisâ€¦ (More)

- Dariush Kiani, M. Mahdavi-Hezavehi
- 2004

Let D be an F -central division algebra of degree pr, p a prime. A set of criteria is given for D to be a crossed product in terms of irreducible soluble or abelian-by-finite subgroups of theâ€¦ (More)

- Ramin Ebrahimian, Dariush Kiani, M. Mahdavi-Hezavehi
- 2003

Let D be a finite dimensional F -central division algebra, and G be an irreducible subgroup of D := GL1(D). Here we investigate the structure of D under various group identities on G. In particular,â€¦ (More)