본문 바로가기
KERD
논문KCI 등재

On a generalized aperiodic perfect map

김상목
대한수학회 (The Korean Mathematical Society)|2005.10|대한수학회논문집 (Communications of the KMS)|제20권 제4호|pp. 685-693

0

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

An aperiodic perfect map(APM) is an array with the property that every array of certain size, called a window, arises exactly once as a contiguous subarray in the array. In this article, we deal with the generalization of APM in higher dimensional arrays. First, we reframe all known definitions onto the generalized n-dimensional arrays. Next, some elementary known results on arrays are generalized to propositions on n-dimensional arrays. Finally, with some devised integer representations, two constructions of infinite family of n-dimensional APMs are generalized from known 2-dimensional constructions in (7)

참고문헌 (11)

  1. "A combinatorial problem", 49, pp.758~764 (1946)
  2. "Coding Schemes for two-dimensional position sending", pp.31~ (1993), Oxford Univ. Press
  3. "Normally recurring decimals", 21, pp.167~169 (1946)
  4. "A survey of full length nonlinear shift register cycle algorithms", 1, pp.107~113 (1980)
  5. "On the existence of de Bruijn tori with two by two windows", 76, pp.213~230 (1996)
  6. "On Construction of Matrices with distict submatrices", 1, pp.107~113 (1980)
  7. "On the existence of aperiodic perfect maps for 2 by 2 windows", 65, pp.111~120 (2002)
  8. "Aperiodic and semi-periodic perfect maps", 41, pp.88~95 (1995)
  9. "New Classes of Perfect Maps I", 73, pp.302~334 (1996)
  10. "New Classes of Perfect Maps II", 73, pp.335~345 (1996)
  11. "Note on a paper by I. J. Good", 21, pp.169~172 (1946)

관련 논문AI추천

The Asymptotic Behavior of Generalized Quadratic Mappings on Restricted Domains김학만, 장익순한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제3호Topological entropy of a sequence of monotone maps on circlesJinlian Zhang, Lianfa He, Yujun Zhu대한수학회 · 대한수학회지2006 · 제43권 제2호Weak inverse shadowing and genericity김성식, 이건희, 최태영대한수학회 · 대한수학회보2006 · 제43권 제1호On points of zero characteristic properties in dynamical systemsKi-Shik Koo대한수학회 · 대한수학회논문집2004 · 제19권 제2호Expansive homeomorphisms with the shadowing property on zerodimensional spacesJong-Jin Park대한수학회 · 대한수학회논문집2004 · 제19권 제4호Positively measure expansive and expanding안지원, 이건희, 이만섭대한수학회 · 대한수학회논문집2014 · 제29권 제2호

이 간행물의 다른 논문 (22건)

특수함수의 q-유사에 관한 소고손진우pp. 623-640A Galois extension with Galois group dihedral group or generalized quaternion group황윤성pp. 641-644An action of a Galois group on a tensor product황윤성pp. 645-648Skew enveloping algebras and Poisson enveloping algebras오세권, 조은희pp. 649-655Green functions on the p-adic vector space임경수, 손진우pp. 657-669
원문 보기