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BIPARTITE GRAPH BUNDLES WITH CONNECTED FIBERS
HOHG, SUNGPYO,KWAK, JIN HO,LEE, JAEUN 경북대학교 위상수학 기하학연구센터 1999 硏究論文集 Vol.7 No.-
Let G be a finite connected simple graph. The isomorphism classes of graph bundles and graph coverings over G have been enumerated by Kwak and Lee [6]. Recently, Archdeacon at al [1] characterized bipartite coverings of G and enumerated the isomorphism classes of regular 2p-fold bipartite coverings of G, when G is nonbipartite. In this paper, we characterize bipartite graph bundles over G and derive some enumeration formulas of the isomorphism classes of them when the fiber is a connected bipartite graph. As an application, we compute the exact numbers of the isomorphism classes of bipartite graph bundles over G when the fiber is the path P_(n) or the cycle C_(n).
On Gibbs' Phenomenon for Sampling Series in Wavelet Subspaces
SHIM, HOHG-TAE,KIM, HONG OH 경북대학교 위상수학 기하학연구센터 1999 硏究論文集 Vol.8 No.-
Let {V_(m)} be a multiresolution analysis of L^(2)(R) such that a sampling function S for V_(0) exists. Then we show the sampling approximation of a function in H^(α), α>½, onto V_(m) converges to it uniformly as m → ∞. Also Gibbs phenomenon for this sampling expansion is analyzed.
국제체제의 변화와 남북한 외교의 적응력 비교 : Changing Environment and Their Adaptation Capabilities
홍규덕 淑明女子大學校 統一問題硏究所 1995 통일논총 Vol.12 No.-
It seems not fair to compare the effectiveness of two totally different states' foreign policies. Seoul with its strong economy now enjoys the improved status and has joined the EDC group while the other capital has struggled for its own survival due to the international isolation and economic failures. No one may wonder how wide the gap between the two countries. But there are some remarkable similarities in their behaviors especially when they are facing the challenges from the outside. Actually, structural causes in the post-Cold war period lead to greater similarity in the behavior of two actors than would be expected on the basis of their individual attributes. They are looking for new approaches to adjust themselves to the changing envirnment. However, both regimes in common are experiencing difficulties to overcome their cultural traits. Indeed, their own worst enemies are the long-held threat perception and the image of the world. Their inferiority feeling and conspiratorial world view seem to come from their history of foreign domination and countless invasion from the neighboring powers. They have long been competing for international recognition. Now Seoul seems to win the race after a half century long fierce battle. Seoul is currently searching for its new role in contributing security and peace in the international society. Pyongyang understands that it desperately needs adaptation. But Pyongyang's dilemma is that it cannot easily change its course because openning its border may weaken its political grip and cause internal disorder especially in the post-Kim period. Yet, Seoul is not totally free from its typical sensitivity of perceived threat. The full-blown democracy not only give civilian government newly assertive driving power but also a new kind of sensitivity to the domestic pressure of interest groups. Consensus can hardly be a achievable goal. Confusion, unfortunately, becomes the natural by-product. Both Seoul and Pyongyang regard face-saving a great value and sometimes they pursue face-saving approach relentlessly because they think it is important to having the appearance of not being too soft to the archenemy. Yet the attributes are important enough to result in significant variations not easily explained by the constant constraint of structure. Seoul has benefitted from well-trained diplomats and resources and it is strongly supported by its pluralized society which has complex networks throughout the world. Pyongyang has some advantage in making quick decisions because in its decision-making process societal pressures are totally kept away. Yet, their system has significantly weakened due to the lack of resources, low morality and rampant corruption. North Korea has already discarded its long-standing position of anti-US imperialism and now is working very hard to improve its relations with the United States. South Korea has also proclaimed that it seeks an engagement policy in which Seoul can induce Pyongyang to come to play a positive role in the international society. But both are still haunted by mirror image and domestic concerns left them little loom for easy compromise between them.