## Search

Now showing items 11-20 of 43

#### The enhanced principal rank characteristic sequence for skew-symmetric matrices

(Elsevier, 2015-08-15)

The enhanced principal rank characteristic sequence (epr-sequence) was originally defined for an n ×n real symmetric matrix or an n ×n Hermitian matrix. Such a sequence is defined to be l1l2···ln where lk is A,S, or N ...

#### 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 ...

#### The enhanced principal rank characteristic sequence

(Elsevier, 2015)

The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric n ×n matrix is a sequence from A,S, or N according as all, some, or none of its principal minors of order k are nonzero. Such sequences give ...

#### On Graphical Modeling of Preference and Comfort

(2017)

User's choices involve habitual behavior and genuine decisions. Habitual behavior is often represented using preferences. The conditional preference network (CP-net) is a graphical tool for representing and reasoning about ...

#### 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 ...

#### A Linear Model for Three-Way Analysis of Facial Similarity

(Springer, Cham, 2018-05-18)

Card sorting was used to gather information about facial similarity judgments. A group of raters put a set of facial photos into an unrestricted number of different piles according to each rater’s judgment of similarity. ...

#### 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 ...

#### 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 ...

#### Solving a structured quadratic eigenvalue problem by a structure-preserving doubling algorithm

(SIAM, 2010)

In studying the vibration of fast trains, we encounter a palindromic quadratic eigenvalue problem (QEP) $(\lambda^2 A^T + \lambda Q + A)z = 0$, where $A, Q \in \mathbb{C}^{n \times n}$ and $Q^T = Q$. Moreover, the matrix ...