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Volumn 53, Issue 4, 2006, Pages 274-277

The Δ2-Conjecture for L(2,1)-Labelings is True for Direct and Strong Products of Graphs

Author keywords

channel assignment; graph direct product; graph strong product; L(2, 1) labeling

Indexed keywords

CHANNEL ESTIMATION; NUMBER THEORY; PROBLEM SOLVING;

EID: 34047124781     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2005.861884     Document Type: Article
Times cited : (27)

References (21)
  • 1
    • 13544261732 scopus 로고    scopus 로고
    • A limit theorem for the Shannon capacities of odd cycles. II
    • T. Bohman, “A limit theorem for the Shannon capacities of odd cycles. II,” Proc. Amer. Math. Soc., vol. 133, pp. 537–543, 2005.
    • (2005) Proc. Amer. Math. Soc. , vol.133 , pp. 537-543
    • Bohman, T.1
  • 3
    • 0030367240 scopus 로고    scopus 로고
    • The L(2,1)-labeling on graphs
    • G. J. Chang and D. Kuo, “The L(2,1)-labeling on graphs,” SIAM J. Discrete Math., vol. 9, pp. 309–316, 1996.
    • (1996) SIAM J. Discrete Math. , vol.9 , pp. 309-316
    • Chang, G.J.1    Kuo, D.2
  • 4
    • 21144456361 scopus 로고    scopus 로고
    • The L(2,1)-labeling problem on ditrees
    • G. J. Chang and S.-C. Liaw, “The L(2,1)-labeling problem on ditrees,” Ars Combin., vol. 66, pp. 23–31, 2003.
    • (2003) Ars Combin. , vol.66 , pp. 23-31
    • Chang, G.J.1    Liaw, S.-C.2
  • 5
    • 0041418307 scopus 로고    scopus 로고
    • No-hole L(2,1)-colorings
    • P. C. Fishburn and F. S. Roberts, “No-hole L(2,1)-colorings,” Discr. Appl. Math., vol. 130, pp. 513–519, 2003.
    • (2003) Discr. Appl. Math. , vol.130 , pp. 513-519
    • Fishburn, P.C.1    Roberts, F.S.2
  • 6
    • 33744976742 scopus 로고    scopus 로고
    • The strong isometric dimension of finite reflexive graphs
    • S. L. Fitzpatrick and R. J. Nowakowski, “The strong isometric dimension of finite reflexive graphs,” Discuss. Math. Graph Theory, vol. 20, pp. 23–38, 2000.
    • (2000) Discuss. Math. Graph Theory , vol.20 , pp. 23-38
    • Fitzpatrick, S.L.1    Nowakowski, R.J.2
  • 7
    • 31244435899 scopus 로고    scopus 로고
    • On generalized Petersen graphs labeled with a condition at distance two
    • J. P. Georges and D. W. Mauro, “On generalized Petersen graphs labeled with a condition at distance two,” Discr. Math., vol. 259, pp. 311–318, 2002.
    • (2002) Discr. Math. , vol.259 , pp. 311-318
    • Georges, J.P.1    Mauro, D.W.2
  • 8
    • 0000801332 scopus 로고
    • Labeling graphs with a condition at distance two
    • J. R. Griggs and R. K. Yeh, “Labeling graphs with a condition at distance two,” SIAM J. Discr. Math., vol. 5, pp. 586–595, 1992.
    • (1992) SIAM J. Discr. Math. , vol.5 , pp. 586-595
    • Griggs, J.R.1    Yeh, R.K.2
  • 9
    • 0019213982 scopus 로고
    • Frequency assignment: Theory and application
    • Jul.
    • W. K. Hale, “Frequency assignment: Theory and application,” Proc. IEEE, vol. 68, no. 7, pp. 1497–1514, Jul. 1980.
    • (1980) Proc. IEEE , vol.68 , Issue.7 , pp. 1497-1514
    • Hale, W.K.1
  • 10
    • 0003628648 scopus 로고    scopus 로고
    • Product Graphs: Structure and Recognition
    • New York: Wiley
    • W. Imrich and S. Klavžar, Product Graphs: Structure and Recognition. New York: Wiley, 2000.
    • (2000)
    • Imrich, W.1    Klavžar, S.2
  • 11
    • 0035887929 scopus 로고    scopus 로고
    • Smallest independent dominating sets in Kronecker Kronecker products of cycles
    • P. K. Jha, “Smallest independent dominating sets in Kronecker Kronecker products of cycles,” Discr. Appl. Math., vol. 113, pp. 303–306, 2001.
    • (2001) Discr. Appl. Math. , vol.113 , pp. 303-306
    • Jha, P.K.1
  • 12
    • 0035305128 scopus 로고    scopus 로고
    • Optimal L(2,1)-labeling of strong products of cycles
    • Apr.
    • P. K. Jha, “Optimal L(2,1)-labeling of strong products of cycles,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 4, pp. 498–500, Apr. 2001.
    • (2001) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.48 , Issue.4 , pp. 498-500
    • Jha, P.K.1
  • 13
    • 8344267498 scopus 로고    scopus 로고
    • L(2,1)-labeling of direct product of paths and cycles
    • P. K. Jha, S. Klavžar, and A. Vesel, “L(2,1)-labeling of direct product of paths and cycles,” Discr. Appl. Math., vol. 145, pp. 317–325, 2005.
    • (2005) Discr. Appl. Math. , vol.145 , pp. 317-325
    • Jha, P.K.1    Klavžar, S.2    Vesel, A.3
  • 14
    • 0040693706 scopus 로고    scopus 로고
    • Isomorphic components of Kronecker product of bipartite graphs
    • P. K. Jha, S. Klavžar, and B. Zmazek, “Isomorphic components of Kronecker product of bipartite graphs,” Discuss. Math. Graph Theory, vol. 17, pp. 301–309, 1997.
    • (1997) Discuss. Math. Graph Theory , vol.17 , pp. 301-309
    • Jha, P.K.1    Klavžar, S.2    Zmazek, B.3
  • 15
    • 8344223280 scopus 로고    scopus 로고
    • Computing graph invariants on rotagraphs using dynamic algorithm approach: The case of (2, 1)-colorings and independence numbers
    • S. Klavžar and A. Vesel, “Computing graph invariants on rotagraphs using dynamic algorithm approach: The case of (2, 1)-colorings and independence numbers,” Discr. Appl. Math., vol. 129, pp. 449–460, 2003.
    • (2003) Discr. Appl. Math. , vol.129 , pp. 449-460
    • Klavžar, S.1    Vesel, A.2
  • 16
    • 15844409022 scopus 로고    scopus 로고
    • L(2,1)-labeling of strong products of cycles
    • D. Korže and A. Vesel, “L(2,1)-labeling of strong products of cycles,” Inf. Process. Lett., vol. 94, pp. 183–190, 2005.
    • (2005) Inf. Process. Lett. , vol.94 , pp. 183-190
    • Korže, D.1    Vesel, A.2
  • 17
    • 0041884948 scopus 로고    scopus 로고
    • A theorem about the channel-assignment problem
    • D. Král and R. Škrekovski, “A theorem about the channel-assignment problem,” SIAM J. Discr. Math., vol. 16, pp. 426-437, 2003.
    • (2003) SIAM J. Discr. Math. , vol.16 , pp. 426-437
    • Král, D.1    Škrekovski, R.2
  • 18
    • 2442685837 scopus 로고    scopus 로고
    • On L(2,1)-labelings of Cartesian products of paths and cycles
    • D. Kuo and J.-H. Yan, “On L(2,1)-labelings of Cartesian products of paths and cycles,” Discr. Math., vol. 283, pp. 137–144, 2004.
    • (2004) Discr. Math. , vol.283 , pp. 137-144
    • Kuo, D.1    Yan, J.-H.2
  • 19
    • 8344264227 scopus 로고
    • Computational arrays with flexible redundancy
    • J. Ramirez and R. Melhem, “Computational arrays with flexible redundancy,” Computer, vol. 20, pp. 55–65, 1987.
    • (1987) Computer , vol.20 , pp. 55-65
    • Ramirez, J.1    Melhem, R.2
  • 20
    • 16344378111 scopus 로고    scopus 로고
    • The L(2,1) -labeling and operations of graphs
    • Mar.
    • Z. Shao and R. K. Yeh, “The L(2,1) -labeling and operations of graphs,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 3, pp. 668–671, Mar. 2005.
    • (2005) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.52 , Issue.3 , pp. 668-671
    • Shao, Z.1    Yeh, R.K.2
  • 21
    • 0028464733 scopus 로고
    • Diagonal and toroidal mesh networks
    • K. W. Tang and S. A. Padubirdi, “Diagonal and toroidal mesh networks,” IEEE Trans. Comput., vol. 43, pp. 815–826, 1994.
    • (1994) IEEE Trans. Comput. , vol.43 , pp. 815-826
    • Tang, K.W.1    Padubirdi, S.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.