메뉴 건너뛰기
International Journal of Mathematical Education in Science and Technology
Volumn 41, Issue 6, 2010, Pages 769-785
A brief historical introduction to Euler's formula for polyhedra, topology, graph theory and networks
Author keywords

Euler's formula for polyhedra; Graphs; Knight's tour problem and Graeco Latin squares; Magic squares; Networks; Topology
Indexed keywords

EID: 77955835357     PISSN: 0020739X     EISSN: 14645211     Source Type: Journal    
DOI: 10.1080/00207391003675166     Document Type: Article
Times cited : (11)
References (12)
  • 1
    • 77955827681 scopus 로고
    • Series I, Berkhä user Verlag, Boston and Basel
    • L. Euler, Omnia Opera, Series I, Berkhä user Verlag, Boston and Basel, 1911.
    • (1911) Omnia Opera
    • Euler, L.1
  • 3
    • 77955816554 scopus 로고    scopus 로고
    • Sunday strolls and trotting pigs, 300 years of networks
    • I. Stewart, Sunday strolls and trotting pigs, 300 years of networks, Math. Today 24 (2008), pp. 202-204.
    • (2008) Math. Today , vol.24 , pp. 202-204
    • Stewart, I.1
  • 4
    • 84945709094 scopus 로고
    • On the construction of sets of mutually orthogonal Latin squares and the falsity of a conjecture of Euler
    • R.C. Bose and S.S. Shrikhande, On the construction of sets of mutually orthogonal Latin squares and the falsity of a conjecture of Euler, Trans. Amer. Math. Soc. 95 (1959), pp. 734-737.
    • (1959) Trans. Amer. Math. Soc. , vol.95 , pp. 734-737
    • Bose, R.C.1    Shrikhande, S.S.2
  • 5
    • 0000675946 scopus 로고
    • Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler's conjecture
    • R.C. Bose, S.S. Shrikhande, and ET. Parker, Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler's conjecture, Canad. J. Math. 12 (1960), pp. 189-203.
    • (1960) Canad. J. Math. , vol.12 , pp. 189-203
    • Bose, R.C.1    Shrikhande, S.S.2    Parker, E.T.3
  • 6
    • 40849133509 scopus 로고    scopus 로고
    • Graeco-Latin and a mistaken conjecture of Euler
    • D. Klyve and L. Stemkoski, Graeco-Latin and a mistaken conjecture of Euler, College Math. J. 37 (2006), pp. 2-15.
    • (2006) College Math. J. , vol.37 , pp. 2-15
    • Klyve, D.1    Stemkoski, L.2
  • 7
    • 0007071347 scopus 로고
    • A Short disproof of Euler's conjecture concerning orthogonal Latin squares
    • Z. Lie, A Short disproof of Euler's conjecture concerning orthogonal Latin squares, Ars Combinatoria 14 (1982), pp. 47-55.
    • (1982) Ars Combinatoria , vol.14 , pp. 47-55
    • Lie, Z.1
  • 8
    • 77955836909 scopus 로고
    • A short proof of the nonexistence of a pair of orthogonal Latin squares of order six
    • D.R. Stinson, A short proof of the nonexistence of a pair of orthogonal Latin squares of order six, J. Combinatoria 14 (1982), pp. 47-55.
    • (1982) J. Combinatoria , vol.14 , pp. 47-55
    • Stinson, D.R.1
  • 9
    • 0002869923 scopus 로고
    • Collected works (1915-1956)
    • H. Poincaré, Collected works (1915-1956), Oeuvres, 6 (1895), pp. 193-288.
    • (1895) Oeuvres , vol.6 , pp. 193-288
    • Poincaré, H.1
  • 10
    • 84960552988 scopus 로고
    • Second compliment a l'analysis situs
    • (Oeuvres, 6, 338-372)
    • H. Poincaré, Second compliment a l'analysis situs, Proc. London Math. Soc. 32 (1900), pp. 277-308 (Oeuvres, 6, 338-372).
    • (1900) Proc. London Math. Soc. , vol.32 , pp. 277-308
    • Poincaré, H.1
  • 11
    • 0002741878 scopus 로고
    • A determinant formula for the number of ways of colouring a map
    • G.D. Birkhoff, A determinant formula for the number of ways of colouring a map, Ann. Math. 14 (1912), pp. 42-46.
    • (1912) Ann. Math. , vol.14 , pp. 42-46
    • Birkhoff, G.D.1
  • 12
    • 0347949765 scopus 로고
    • An application of modular equations in analysis situs
    • O. Veblen, An application of modular equations in analysis situs, Ann. Math. 14 (1912), pp. 86-94.
    • (1912) Ann. Math. , vol.14 , pp. 86-94
    • Veblen, O.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.