• Journal of applied mathematics & informatics
• /
• v.34 no.3_4
• /
• pp.341-354
• /
• 2016

In this paper, the exact formulae for the generalized product degree distance, reciprocal product degree distance and product degree distance of tensor product of a connected graph and the complete multipartite graph with partite sets of sizes m₀, m₁, ⋯ , m_r−1 are obtained.

• Korean Journal of Mathematics
• /
• v.9 no.1
• /
• pp.61-65
• /
• 2001

We introduce a subgroup $ HJ(f,x_0,G)$ of the fundamental group of a transformation group as a generalization of the Jiang subgroup $J(f,x_0$) and show some properties of this subgroup.

• Journal of the Korean Mathematical Society
• /
• v.32 no.4
• /
• pp.649-659
• /
• 1995

The purpose of this paper is to generalize the Carleson inequality, which is known to play important roles in harmonic analysis. The result given here is a generalization of Coifmann, Meyer, Stein [CMS]. A similar result is shown by Deng [D].

• Communications of the Korean Mathematical Society
• /
• v.10 no.4
• /
• pp.831-837
• /
• 1995

In this paper, we introduce a permutation graph over a graph G as a generalization of both a graph bundle over G and a standard permutation graph, and study a characterization of a natural isomorphism and an automorphism of permutation graphs over a graph.

• Bulletin of the Korean Mathematical Society
• /
• v.25 no.2
• /
• pp.247-251
• /
• 1988

This note gives a combinatorial treatment to the problem finding a generating set among conjugating automorphisms of a free group and to the method deciding when a conjugating endomorphism of a free group is an automorphism. Our group of pseudo-conjugating automorphisms can be thought of as a generalization of the artin's braid group.

• Korean Journal of Mathematics
• /
• v.10 no.1
• /
• pp.59-66
• /
• 2002

We introduce the ${\kappa}_0$-proximity space as a generalization of the Efremovic-proximity space. We define a product ${\kappa}_0$-proximity and the quotient ${\kappa}_0$-proxmity and show some properties of ${\kappa}_0$-proximity space.

• Korean Journal of Mathematics
• /
• v.7 no.1
• /
• pp.131-138
• /
• 1999

We introduce an extended Jiang subgroup $J(f,x_0,G)$ of the fundamental group of a transformation group as a generalization of the Jiang subgroup $J(f,x_0)$ and show some properties of this extended Jiang subgroup.

• Korean Journal of Mathematics
• /
• v.24 no.1
• /
• pp.27-40
• /
• 2016

In this paper, we introduce the concepts of interval-valued intuitionistic gradation of openness of fuzzy sets which is a generalization of intuitionistic gradation of openness of fuzzy sets and interval-valued intuitionistic gradation preserving mapping and then investigate their properties.

• Korean Journal of Mathematics
• /
• v.17 no.3
• /
• pp.257-270
• /
• 2009

In this paper we introduce the Henstock integral of fuzzy mappings in Banach spaces as a generalization of the Henstock integral of set-valued mappings and investigate some properties of it.

• Korean Journal of Mathematics
• /
• v.16 no.1
• /
• pp.85-90
• /
• 2008

We consider Fourier multiplier operators whose symbols satisfy a generalization of $H{\ddot{o}}rmander^{\prime}s$ condition and establish their Sobolev-type mapping properties on the homogeneous Besov-Lipschitz spaces by making use of a continuous characterization of Besov-Lipschitz spaces. As an application, we derive Sobolev-type imbedding theorem.