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Volumn 27, Issue 7, 2009, Pages 1056-1065

Computing subgraph probability of random geometric graphs with applications in quantitative analysis of ad hoc networks

Author keywords

Ad hoc networks; Quantitative analysis; Random geometric graphs; Subgraph counting; Subgraph probability

Indexed keywords

ASYMPTOTIC BOUNDS; CLOSED FORM; INDUCED SUBGRAPHS; POSITIVE VALUE; RANDOM GEOMETRIC GRAPHS; SUBGRAPHS;

EID: 80054713790     PISSN: 07338716     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSAC.2009.090904     Document Type: Article
Times cited : (11)

References (34)
  • 1
    • 0242696202 scopus 로고    scopus 로고
    • On the minimum node degree and connectivity of a wireless multi-hop network
    • Christian Bettstetter
    • Christian Bettstetter, "On the minimum node degree and connectivity of a wireless multi-hop network," MobiHoc, 2002, pp. 80-91.
    • (2002) MobiHoc , pp. 80-91
  • 5
    • 0034555999 scopus 로고    scopus 로고
    • Convergence theorems for some layout measures on random lattice and random geometric graphs
    • J. Díaz, M. D. Penrose, J. Petit, and M. Serna, "Convergence theorems for some layout measures on random lattice and random geometric graphs," Combinatorics, Probability, and Computing, no. 6, pp. 489-511, 2000.
    • (2000) Combinatorics, Probability, and Computing , Issue.6 , pp. 489-511
    • Díaz, J.1    Penrose, M.D.2    Petit, J.3    Serna, M.4
  • 6
    • 18044399942 scopus 로고    scopus 로고
    • Approximating Layout Problems on Random Geometric Graphs
    • DOI 10.1006/jagm.2000.1149
    • J. Díaz, M. D. Penrose, J. Petit, and M. Serna, "Approximating layout problems on random geometric graphs," J. Algorithms, vol. 39, pp. 78-116, 2001. (Pubitemid 33666059)
    • (2001) Journal of Algorithms , vol.39 , Issue.1 , pp. 78-116
    • Diaz, J.1    Penrose, M.D.2    Petit, J.3    Serna, M.4
  • 7
    • 84958669166 scopus 로고    scopus 로고
    • Random geometric problems on [0, 1]2
    • Springer-Verlag, New York/Berlin
    • J. Díaz, J. Petit, and M. Serna, "Random geometric problems on [0, 1]2," Lecture Notes in Computer Science, vol. 1518, Springer-Verlag, New York/Berlin, 1998.
    • (1998) Lecture Notes in Computer Science , vol.1518
    • Díaz, J.1    Petit, J.2    Serna, M.3
  • 8
    • 0036343514 scopus 로고    scopus 로고
    • Connectivity in ad-hoc and hybrid networks
    • O. Dousse, P. Thiran, and M. Hasler, "Connectivity in ad-hoc and hybrid networks," Infocom, 2002.
    • (2002) Infocom
    • Dousse, O.1    Thiran, P.2    Hasler, M.3
  • 17
    • 0033243141 scopus 로고    scopus 로고
    • A strong law for the longest edge of the minimal spanning tree
    • M. D. Penrose, "A strong law for the longest edge of the minimal spanning tree," The Annals of Probability, vol. 27, no. 1, pp. 246-260, 1999.
    • (1999) The Annals of Probability , vol.27 , Issue.1 , pp. 246-260
    • Penrose, M.D.1
  • 18
    • 0031287494 scopus 로고    scopus 로고
    • The longest edge of the random minimal spanning tree
    • M. D. Penrose, "The longest edge of the random minimal spanning tree," The Annals of Applied Probability, vol. 7, no. 2, pp. 340-361, 1997.
    • (1997) The Annals of Applied Probability , vol.7 , Issue.2 , pp. 340-361
    • Penrose, M.D.1
  • 19
    • 0033471867 scopus 로고    scopus 로고
    • On k-connectivity for a geometric random graph
    • M. D. Penrose, "On k-connectivity for a geometric random graph," Random structures and Algorithms, vol. 15, no. 2, pp. 145-164, 1999.
    • (1999) Random Structures and Algorithms , vol.15 , Issue.2 , pp. 145-164
    • Penrose, M.D.1
  • 20
    • 0242509978 scopus 로고    scopus 로고
    • The critical transmitting range for connectivity in sparse wireless ad hoc networks
    • Paolo Santi and Douglas M. Blough, "The critical transmitting range for connectivity in sparse wireless ad hoc networks," IEEE Trans. Mobile Comput., vol. 2, no. 1, pp. 25-39, 2003.
    • (2003) IEEE Trans. Mobile Comput. , vol.2 , Issue.1 , pp. 25-39
    • Santi, P.1    Blough, D.M.2
  • 22
    • 0016643763 scopus 로고
    • Packet switching in radio channels, Part II-The hidden terminal problem in carrier sense multiple access and the busy tone solution
    • F. Tobagi and L. Kleinrock, "Packet switching in radio channels, Part II-The hidden terminal problem in carrier sense multiple access and the busy tone solution," IEEE Trans. Commun., vol. COM-23, no. 12, pp. 1417-1433, 1975.
    • (1975) IEEE Trans. Commun. , vol.COM-23 , Issue.12 , pp. 1417-1433
    • Tobagi, F.1    Kleinrock, L.2
  • 23
    • 84949515922 scopus 로고    scopus 로고
    • Domination and its application in ad hoc wireless networks with unidirectional links
    • J. Wu and H. Li, "Domination and its application in ad hoc wireless networks with unidirectional links," International Conference on Parallel Processing, 2000, pp. 189-197.
    • (2000) International Conference on Parallel Processing , pp. 189-197
    • Wu, J.1    Li, H.2
  • 24
    • 1042289031 scopus 로고    scopus 로고
    • The number of neighbors needed for connectivity of wireless networks
    • F. Xue and P. R. Kumar, "The number of neighbors needed for connectivity of wireless networks," Wireless Networks, vol. 10, pp. 169-181, 2004.
    • (2004) Wireless Networks , vol.10 , pp. 169-181
    • Xue, F.1    Kumar, P.R.2
  • 25
    • 33646399667 scopus 로고
    • Unpublished D. Phil. thesis, Department of Statistics and Actuarial Science, University of Iowa
    • K. J. Yang, On the Number of Subgraphs of a Random Graph in [0, 1]d, Unpublished D. Phil. thesis, Department of Statistics and Actuarial Science, University of Iowa, 1995.
    • (1995) On the Number of Subgraphs of A Random Graph in [0,1]d
    • Yang, K.J.1
  • 26
    • 20344402297 scopus 로고    scopus 로고
    • Link probability, network coverage, and related properties of wireless ad hoc networks
    • 2004 IEEE International Conference on Mobile Ad-Hoc and Sensor Systems
    • L.-H. Yen and Chang Wu Yu, "Link probability, network coverage, and related properties of wireless ad hoc networks," The 1st IEEE International Conference on Mobile Ad-hoc and Sensor Systems, 2004, pp. 525-527. (Pubitemid 40789384)
    • (2004) 2004 IEEE International Conference on Mobile Ad-Hoc and Sensor Systems , pp. 525-527
    • Yen, L.-H.1    Chang, W.Y.2
  • 27
    • 33745200525 scopus 로고    scopus 로고
    • Expected k-coverage in wireless sensor networks
    • L.-H. Yen, Chang Wu Yu, and Yang-Min Cheng, "Expected k-coverage in wireless sensor networks," Ad Hoc Networks, vol. 5, no. 4, pp. 636-650, 2006.
    • (2006) Ad Hoc Networks , vol.5 , Issue.4 , pp. 636-650
    • Yen, L.-H.1    Wu Yu, C.2    Cheng, Y.3
  • 29
    • 33847021893 scopus 로고    scopus 로고
    • A low overhead dynamic route repairing mechanism for mobile ad hoc networks
    • DOI 10.1016/j.comcom.2006.12.008, PII S0140366406004506, Advances in Computer Communications Networks
    • Chang Wu Yu, Tung-Kuang Wu, and Rei Heng Cheng, "A low overhead dynamic route repairing mechanism for mobile ad hoc networks," Computer Communications, vol. 30, pp. 1152-1163, 2007. (Pubitemid 46273643)
    • (2007) Computer Communications , vol.30 , Issue.5 , pp. 1152-1163
    • Yu, C.W.1    Wu, T.-K.2    Cheng, R.H.3
  • 31
    • 84055199368 scopus 로고    scopus 로고
    • Computing subgraph probability of random geometric graphs with applications in wireless ad hoc networks
    • Chung Hua University, R.O.C
    • Chang Wu Yu, L.-H. Yen, and Yang-Min Cheng, "Computing subgraph probability of random geometric graphs with applications in wireless ad hoc networks," Tech. Rep., CHU-CSIE-TR-2004-005, Chung Hua University, R.O.C.
    • Tech. Rep., CHU-CSIE-TR-2004-005
    • Wu Yu, C.1    Yen, L.-H.2    Cheng, Y.3
  • 34
    • 84855461734 scopus 로고    scopus 로고
    • http://mathworld.wolfram.com/.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.