图的连通因子

连通因子问题与Hamilton问题和信息网络有着密切的联系．1993年，首先由M.Kano就该问题在[6]中提出了许多问题和猜想，接下来他又在[16]中提出了一些猜想，本文就连通因子问题在过去十年的主要进展进行了回顾并提出了若干可进一步研究的问题和猜想．     

Open problems and conjectures

In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relavant information to G.Ladas     

Open problems and conjectures

In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas.     

On the recursive sequence

In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas.     

Open problems and conjectures

In this section we present some open problems and conjectures about some interesting types of difference equations, Please submit your problems and conjectures with all relevant information to G. Ladas.     

Open problems and conjectures,optimal rearrangement problems related to discrete loaded strings

In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas.     

Open problem and conjectures,countably many solutions for a bvp on a measure chain

In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas.     

Convergence to periodic solutions

Open Problems and Conjectures Edited by Gerry Ladas In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas     

Conjectures and problems on Bochner-Riesz means

The aim of this paper is to state some conjectures and problems on Bochner-Riesz means in multiple Fourier series and integrals. The progress on these conjectures and problems are also mentioned.     

Global results on rational systems in the plane,part 1

Edited by Gerry Ladas

In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas: Email: gladas@math.uri.edu     

Open problems and conjectures

In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjecutures with all relevant informations to G. Ladas     

Three Conjectures on Shepard Interpolatory Operators

After establishing direct and converse approximation theorems for the Shepard interpolatory operators, J. Szabados (Approx. Theory Appl.7, No. 3, 1991, 63–76) left some open saturation problems (“the most intriguing questions” as he said), which he raised as three conjectures. The present paper proves the second parts of some conjectures, but constructs counterexamples to show that the first parts of three conjectures are not true. The constructive procedure uses some novel ideas and techniques.     

Convergence in Conformal Field Theory

Convergence and analytic extension are of fundamental importance in the mathematical construction and study of conformal field theory. The author reviews some main convergence results, conjectures and problems in the construction and study of conformal field theories using the representation theory of vertex operator algebras. He also reviews the related analytic extension results, conjectures and problems. He discusses the convergence and analytic extensions of products of intertwining operators (chiral conformal fields) and of q-traces and pseudo-q-traces of products of intertwining operators. He also discusses the convergence results related to the sewing operation and the determinant line bundle and a higher-genus convergence result. He then explains conjectures and problems on the convergence and analytic extensions in orbifold conformal field theory and in the cohomology theory of vertex operator algebras.     

Open problems in some competition models

We present open problems and conjectures for some two-dimensional competition models, namely the logistic competition model and a Ricker-type competition model.     

Difference equations in combinatorics,number theory,and orthogonal polynomials

In this paper we give an overview of some recent developments in the asymptotics of difference equations. Applications to combinatorics and orthogonal polynomials are briefly indicated. Some conjectures and open problems are presented     

关于图的团符号控制数

引入了图的团符号控制的概念,给出了n阶图G的团符号控制数γks(G)的若干下限,确定了几类特殊图的团符号控制数,并提出了若干未解决的问题和猜想.     

Operator-norm inequalities and interpolated trace inequalities

In this article, we investigate some operator-norm inequalities related to some conjectures posed by Hayajneh and Kittaneh that are related to questions of Bourin regarding a special type of inequalities referred to as subadditivity inequalities. While some inequalities are meant to answer these conjectures, other inequalities present reverse-type inequalities for these conjectures. Then, we present some new trace inequalities related to Heinz means inequality and use these inequalities to prove some variants of the aforementioned conjectures.     

Computation of the cohomology rings of Kac-Moody groups,their flag manifolds and classifying spaces

In this paper we introduce the history and present situation of the computation of the cohomology rings of Kac-Moody groups, their flag manifolds and classifying spaces, and give some problems and conjectures that deserve further study.     

Definitions of criticality with respect to edge-coloring

Here we examine six definitions of criticality concerning the chromatic index (edge chromatic number) of a simple graph. Five of these turn out to be almost always almost equivalent. Some problems arise and some conjectures are posed.     

Theory of permanents 1982-1985

This is a survey of developments in the theory of permanents during the last quadrennium. It is a sequel to the monograph Permanents and the survey article Theory of Permanents 1978-1981. Many of the significant results obtained during the last four years are described in some detail. The current status of the conjectures and unsolved problems listed in previous surveys is described, and new conjectures proposed during the present period are listed. A comprehensive bibliography is appended. together with a list of addenda to previous bibliographies. Each item on either list is followed by an abstract.