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article

On Two Generalized Connectivities of Graphs

Yuefang Sun, Fengwei Li, Zemin Jin

Discussiones Mathematicae Graph Theory > 2017 > 38 > 1 > 245-261

The concept of generalized k-connectivity κk(G), mentioned by Hager in 1985, is a natural generalization of the path-version of the classical connectivity. The pendant tree-connectivity τk(G) was also introduced by Hager in 1985, which is a specialization of generalized k-connectivity but a generalization of the classical connectivity. Another generalized connectivity of a graph G, named k-connectivity...

article

A Characterization for 2-Self-Centered Graphs

Mohammad Hadi Shekarriz, Madjid Mirzavaziri, Kamyar Mirzavaziri

Discussiones Mathematicae Graph Theory > 2017 > 38 > 1 > 27-37

A graph is called 2-self-centered if its diameter and radius both equal to 2. In this paper, we begin characterizing these graphs by characterizing edge-maximal 2-self-centered graphs via their complements. Then we split characterizing edge-minimal 2-self-centered graphs into two cases. First, we characterize edge-minimal 2-self-centered graphs without triangles by introducing specialized bi-independent...

article

On Incidence Coloring of Complete Multipartite and Semicubic Bipartite Graphs

Robert Janczewski, Michał Małafiejski, Anna Małafiejska

Discussiones Mathematicae Graph Theory > 2017 > 38 > 1 > 107-119

In the paper, we show that the incidence chromatic number χi of a complete k-partite graph is at most Δ + 2 (i.e., proving the incidence coloring conjecture for these graphs) and it is equal to Δ + 1 if and only if the smallest part has only one vertex (i.e., Δ = n − 1). Formally, for a complete k-partite graph G = Kr1,r2,...,rk with the size of the smallest part equal to r1 ≥ 1 we have χi(G)={Δ(G)+1if...

article

Constant Sum Partition of Sets of Integers and Distance Magic Graphs

Sylwia Cichacz, Agnieszka Gőrlich

Discussiones Mathematicae Graph Theory > 2017 > 38 > 1 > 97-106

Let A = {1, 2, . . . , tm+tn}. We shall say that A has the (m, n, t)-balanced constant-sum-partition property ((m, n, t)-BCSP-property) if there exists a partition of A into 2t pairwise disjoint subsets A1, A2, . . . , At, B1, B2, . . . , Bt such that |Ai| = m and |Bi| = n, and ∑a∈Ai a = ∑b∈Bj b for 1 ≤ i ≤ t and 1 ≤ j ≤ t. In this paper we give sufficient and necessary conditions for a set A to have...

article

On the Number ofα-Labeled Graphs

Christian Barrientos, Sarah Minion

Discussiones Mathematicae Graph Theory > 2017 > 38 > 1 > 177-188

When a graceful labeling of a bipartite graph places the smaller labels in one of the stable sets of the graph, it becomes an α-labeling. This is the most restrictive type of difference-vertex labeling and it is located at the very core of this research area. Here we use an extension of the adjacency matrix to count and classify α-labeled graphs according to their size, order, and boundary value.

article

Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4

Takuya Ikuta, Akihiro Munemasa

Special Matrices > 2018 > 6 > 1 > 1-10

We consider nonsymmetric hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of commutative nonsymmetric association schemes. First, we give a characterization of the eigenmatrix of a commutative nonsymmetric association scheme of class 3 whose Bose-Mesner algebra contains a nonsymmetric hermitian complex Hadamard matrix, and show that such a complex Hadamard matrix is necessarily...

article

Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113

N. A. Balonin, D. Ž. Ðokovic, D. A. Karbovskiy

Special Matrices > 2018 > 6 > 1 > 11-22

We continue our systematic search for symmetric Hadamard matrices based on the so called propus construction. In a previous paper this search covered the orders 4v with odd v ≤ 41. In this paper we cover the cases v = 43, 45, 47, 49, 51. The odd integers v < 120 for which no symmetric Hadamard matrices of order 4v are known are the following: 47, 59, 65, 67, 73, 81, 89, 93, 101, 103, 107, 109,...

article

On the spectral and Frobenius norm of a generalized Fibonacci r-circulant matrix

Jorma K. Merikoski, Pentti Haukkanen, Mika Mattila, Timo Tossavainen

Special Matrices > 2018 > 6 > 1 > 23-36

Consider the recursion g0 = a, g1 = b, gn = gn−1 + gn−2, n = 2, 3, . . . . We compute the Frobenius norm of the r-circulant matrix corresponding to g0, . . . , gn−1. We also give three lower bounds (with equality conditions) for the spectral norm of this matrix. For this purpose, we present three ways to estimate the spectral norm from below in general.

article

Elastic, plastic, fracture analysis of masonry arches: A multi-span bridge case study

Giuseppe Lacidogna, Federico Accornero

Curved and Layered Structures > 2018 > 5 > 1 > 1-9

In this work a comparison is presented between elastic, plastic, and fracture analysis of the monumental arch bridge of Porta Napoli, Taranto (Italy). By means of a FEM model and applying the Mery’s Method, the behavior of the curved structure under service loads is verified, while considering the Safe Theorem approach byHeyman, the ultimate carrying capacity of the structure is investigated. Moreover,...

article

Prime numbers with a certain extremal type property

Edward Tutaj

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

Olufemi Johnson Ogunsola, Ifeyinwa E. Daniel

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces

Anthony To-Ming Lau, Yong Zhang

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

Akbar Zada, Muhammad Yar, Tongxing Li

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

On asymptotically periodic-like motions in flows

Karol Gryszka

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

Resurgence and Waldschmidt constant of the ideal of a fat almost collinear subscheme in P2

Hassan Haghighi, Mohammad Mosakhani, Mohammad Zaman Fashami

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

-g-frames in tensor products of Hilbert C-modules

Mohamed Rossafi, Samir Kabbaj

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

Interval-type theorems concerning means

Paweł Pasteczka

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Gangadharan Murugusundaramoorthy, Teodor Bulboaca

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator

Gangadharan Murugusundaramoorthy, Serap Bulut

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

[unknown2]

Bożena Maj-Tatsis, Marta Pytlak

Didactica Mathematicae > 2018 > 40

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Search results

On Two Generalized Connectivities of Graphs

A Characterization for 2-Self-Centered Graphs

On Incidence Coloring of Complete Multipartite and Semicubic Bipartite Graphs

Constant Sum Partition of Sets of Integers and Distance Magic Graphs

On the Number ofα-Labeled Graphs

Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4

Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113

On the spectral and Frobenius norm of a generalized Fibonacci r-circulant matrix

Elastic, plastic, fracture analysis of masonry arches: A multi-span bridge case study

Prime numbers with a certain extremal type property

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces

Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

On asymptotically periodic-like motions in flows

Resurgence and Waldschmidt constant of the ideal of a fat almost collinear subscheme in P2

-g-frames in tensor products of Hilbert C-modules

Interval-type theorems concerning means

Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator

[unknown2]

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