The Hurwitz Matrix Equations and Multifour Groups.
Samuel S.H. Young (1975)
Commentarii mathematici Helvetici
Markarian, Roberto, Möller, Nelson (2004)
Boletín de la Asociación Matemática Venezolana
Claus Michael Ringel (1975)
Mathematische Annalen
da Fonseca, C.M. (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Yubin Gao, Yan Ling Shao (2003)
Czechoslovak Mathematical Journal
The inertia set of a symmetric sign pattern is the set , where denotes the inertia of real symmetric matrix , and denotes the sign pattern class of . In this paper, a complete characterization on the inertia set of the nonnegative symmetric sign pattern in which each diagonal entry is zero and all off-diagonal entries are positive is obtained. Further, we also consider the bound for the numbers of nonzero entries in the nonnegative symmetric sign patterns with zero diagonal that require...
Gautschi, Walter (2002)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Barrett, Wayne, Gibelyou, Seth, Kempton, Mark, Malloy, Nicole, Nelson, Curtis, Sexton, William, Sinkovic, John (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Imani, A., Moghaddamfar, A.R. (2010)
Acta Mathematica Universitatis Comenianae. New Series
Lippert, Ross A., Strang, Gilbert (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Sergio Falcon (2011)
Open Mathematics
We define the k-Fibonacci matrix as an extension of the classical Fibonacci matrix and relationed with the k-Fibonacci numbers. Then we give two factorizations of the Pascal matrix involving the k-Fibonacci matrix and two new matrices, L and R. As a consequence we find some combinatorial formulas involving the k-Fibonacci numbers.
Russell Merris (1982)
Czechoslovak Mathematical Journal
Li Su, Hong-Hai Li, Liu-Rong Zheng (2012)
Discussiones Mathematicae Graph Theory
The problem of distinguishing, in terms of graph topology, digraphs with real and partially non-real Laplacian spectra is important for applications. Motivated by the question posed in [R. Agaev, P. Chebotarev, Which digraphs with rings structure are essentially cyclic?, Adv. in Appl. Math. 45 (2010), 232-251], in this paper we completely list the Laplacian eigenvalues of some digraphs obtained from the wheel digraph by deleting some arcs.
Zhifu You, Bo Lian Liu (2012)
Czechoslovak Mathematical Journal
The Laplacian spread of a graph is defined as the difference between the largest and second smallest eigenvalues of the Laplacian matrix of the graph. In this paper, bounds are obtained for the Laplacian spread of graphs. By the Laplacian spread, several upper bounds of the Nordhaus-Gaddum type of Laplacian eigenvalues are improved. Some operations on Laplacian spread are presented. Connected -cyclic graphs with vertices and Laplacian spread are discussed.
Chen, Yanqing, Wang, Ligong (2009)
The Electronic Journal of Combinatorics [electronic only]
Christos H. Papadimitriou (1984)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Yi Wang, Yi-Zheng Fan, Xiao-Xin Li, Fei-Fei Zhang (2015)
Discussiones Mathematicae Graph Theory
A graph in a certain graph class is called minimizing if the least eigenvalue of its adjacency matrix attains the minimum among all graphs in that class. Bell et al. have identified a subclass within the connected graphs of order n and size m in which minimizing graphs belong (the complements of such graphs are either disconnected or contain a clique of size n/2 ). In this paper we discuss the minimizing graphs of a special class of graphs of order n whose complements are connected and contains...
Laville, Guy, Ramadanoff, Ivan (2009)
Serdica Mathematical Journal
2000 Mathematics Subject Classification: 30A05, 33E05, 30G30, 30G35, 33E20.Let R0,2m+1 be the Clifford algebra of the antieuclidean 2m+1 dimensional space. The elliptic Cliffordian functions may be generated by the z2m+2 function, analogous to the well-known Weierstrass z-function. The latter satisfies a Legendre equality. We prove a corresponding formula at the level of the monogenic function Dm z2m+2.
Diaz, Alexander, Dunn, Corey (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Al'pin, Yu.A., Ilyin, S.N. (2005)
Zapiski Nauchnykh Seminarov POMI
Tian, Yongge, Cheng, Shizhen (2003)
The New York Journal of Mathematics [electronic only]