## Search

Now showing items 1-9 of 9

#### C.V.

(2014-01-21)

#### Intersecting generalized permutations

(2014-01-21)

#### On the relationship between zero forcing number and certain graph coverings

(2014)

The zero forcing number and the positive zero forcing number of a graph are
two graph parameters that arise from two types of graph colourings. The zero
forcing number is an upper bound on the minimum number of induced ...

#### Minimum number of distinct eigenvalues of graphs

(International Linear Algebra Society, 2013-09)

The minimum number of distinct eigenvalues, taken over all real symmetric matrices
compatible with a given graph G, is denoted by q(G). Using other parameters related to G, bounds
for q(G) are proven and then applied to ...

#### On the complexity of the positive semidefinite zero forcing number

(Elsevier, 2015)

The positive semidefinite zero forcing number of a graph is a graph parameter that arises from a non-traditional type of graph colouring and is related to a more conventional version of zero forcing. We establish a relation ...

#### An Erdős-Ko-Rado theorem for finite \(2\)-transitive groups

(European Journal of Combinatorics, 2016)

We prove an analogue of the classical Erdős-Ko-Rado theorem for
intersecting sets of permutations in finite \(2\)-transitive
groups. Given a finite group \(G\) acting faithfully and
\(2\)-transitively on the set ...

#### MIKL´ OS-MANICKAM-SINGHI CONJECTURES ON PARTIAL GEOMETRIES

(2016-06)

In this paper we give a proof of the Mikl´os-Manickam-Singhi (MMS) conjecture for
some partial geometries. Specifically, we give a condition on partial geometries which implies
that the MMS conjecture holds. Further, ...

#### An Erdos-Ko-Rado theorem for the derangement graph of PGL(2,q) acting on the projective plane

(SIAM Journal on Discrete Mathematics, 2014)

Let G = PGL(2, q) be the projective general linear group acting on the projec-
tive line P_q. A subset S of G is intersecting if for any pair of permutations \pi and \sigma
in S, there is a projective point p in P_q such ...

#### An Erdős-Ko-Rado theorem for the derangement graph of \(PGL_3(q)\) acting on the projective plane

(SIAM J. Discrete Math. 28, 2014)

In this paper we prove an Erdős-Ko-Rado-type theorem for
intersecting sets of permutations. We show that an intersecting set
of maximal size in the projective general linear group \(PGL_3(q)\),
in its natural ...