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Volumn 20, Issue 2, 2006, Pages 302-327

Real number graph labellings with distance conditions

Author keywords

Channel assignment; Generalized coloring; Graph labelling

Indexed keywords

CHANNEL ASSIGNMENT; GENERALIZED COLORING; GRAPH LABELLING;

EID: 34247166461     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480105446708     Document Type: Article
Times cited : (27)

References (30)
  • 1
    • 34249092863 scopus 로고    scopus 로고
    • R. BABILON, V. JELÍNEK, D. KRÁ L', AND P. VALTR, Graph Labeling with Adjustable Weights, ITI Report 2004-226, Institute for Theoretical Computer Science, Prague, Czech Republic, submitted.
    • R. BABILON, V. JELÍNEK, D. KRÁ L', AND P. VALTR, Graph Labeling with Adjustable Weights, ITI Report 2004-226, Institute for Theoretical Computer Science, Prague, Czech Republic, submitted.
  • 2
    • 0029354351 scopus 로고
    • Code assignment for hidden terminal interference avoidance in multihop packet radio networks
    • Aug
    • A. A. BERTOSSI AND M. A. BONUCCELLI, Code assignment for hidden terminal interference avoidance in multihop packet radio networks, IEEE/ACM Trans. Networking, 3 (Aug., 1995), pp. 441-449.
    • (1995) IEEE/ACM Trans. Networking , vol.3 , pp. 441-449
    • BERTOSSI, A.A.1    BONUCCELLI, M.A.2
  • 3
    • 34249040114 scopus 로고    scopus 로고
    • R. E. BROADHURST, W. J. SHANAHAN, AND M. D. STEFFEN, We're sorry, you're outside the coverage area, UMAP J., 21 (2000), pp. 327-342.
    • R. E. BROADHURST, W. J. SHANAHAN, AND M. D. STEFFEN, We're sorry, you're outside the coverage area, UMAP J., 21 (2000), pp. 327-342.
  • 4
    • 0030367240 scopus 로고    scopus 로고
    • The L(2, 1)-labeling problem on graphs
    • G. J. CHANG AND D. KUO, The L(2, 1)-labeling problem on graphs, SIAM J. Discrete Math., 9 (1996), pp. 309-316.
    • (1996) SIAM J. Discrete Math , vol.9 , pp. 309-316
    • CHANG, G.J.1    KUO, D.2
  • 6
    • 0009530215 scopus 로고
    • T-colorings of graphs and the channel assignment problem
    • M. B. COZZENS AND F. S. ROBERTS, T-colorings of graphs and the channel assignment problem, Congr. Numer., 35 (1982), pp. 191-208.
    • (1982) Congr. Numer , vol.35 , pp. 191-208
    • COZZENS, M.B.1    ROBERTS, F.S.2
  • 7
    • 34249087897 scopus 로고    scopus 로고
    • D. J. DURAND, J. M. KLINE, AND K. M. WOODS, Groovin' with the big band(width), UMAP J., 21 (2000), pp. 357-367.
    • D. J. DURAND, J. M. KLINE, AND K. M. WOODS, Groovin' with the big band(width), UMAP J., 21 (2000), pp. 357-367.
  • 8
    • 0037566612 scopus 로고
    • Generalized vertex labelings with a condition at distance two
    • J. P. GEORGES AND D. W. MAURO, Generalized vertex labelings with a condition at distance two, Congr. Numer., 109 (1995), pp. 141-159.
    • (1995) Congr. Numer , vol.109 , pp. 141-159
    • GEORGES, J.P.1    MAURO, D.W.2
  • 9
    • 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, Discrete Math., 259 (2003), pp. 311-318.
    • (2003) Discrete Math , vol.259 , pp. 311-318
    • GEORGES, J.P.1    MAURO, D.W.2
  • 10
    • 0038480143 scopus 로고    scopus 로고
    • Labeling trees with a condition at distance two
    • J. P. GEORGES AND D. W. MAURO, Labeling trees with a condition at distance two, Discrete Math., 269 (2003), pp. 127-148.
    • (2003) Discrete Math , vol.269 , pp. 127-148
    • GEORGES, J.P.1    MAURO, D.W.2
  • 12
    • 34249028123 scopus 로고    scopus 로고
    • J. R. GRIGGS, Judge's commentary: The outstanding channel assignment papers, UMAP J., 21 (2000), pp. 379-386.
    • J. R. GRIGGS, Judge's commentary: The outstanding channel assignment papers, UMAP J., 21 (2000), pp. 379-386.
  • 13
    • 34249027499 scopus 로고    scopus 로고
    • J. R. GRIGGS AND X. T. JIN, Real number channel assignments with distance conditions, DIMACS Graph Coloring Workshop lecture, Oct., 2003, posted online at http://dimacs.rutgers.edu/Workshops/ GraphColor/slides.html.
    • J. R. GRIGGS AND X. T. JIN, Real number channel assignments with distance conditions, DIMACS Graph Coloring Workshop lecture, Oct., 2003, posted online at http://dimacs.rutgers.edu/Workshops/ GraphColor/slides.html.
  • 14
    • 34249090910 scopus 로고    scopus 로고
    • J. R. GRIGGS AND X. T. JIN, Real Number Channel Assignments for Lattices, preprint, Sept., 2005, posted online at http://www.math.sc.edu/~griggs/.
    • J. R. GRIGGS AND X. T. JIN, Real Number Channel Assignments for Lattices, preprint, Sept., 2005, posted online at http://www.math.sc.edu/~griggs/.
  • 15
    • 34249076509 scopus 로고    scopus 로고
    • J. R. GRIGGS AND X. T. JIN, Real Number Labelings for Paths and Cycles, preprint, Sept., 2005, posted online at http://www.math.sc.edu/~griggs/.
    • J. R. GRIGGS AND X. T. JIN, Real Number Labelings for Paths and Cycles, preprint, Sept., 2005, posted online at http://www.math.sc.edu/~griggs/.
  • 16
    • 0000801332 scopus 로고
    • labeling graphs with a condition at distance 2
    • J. R. GRIGGS AND R. K.-C. YEH, labeling graphs with a condition at distance 2, SIAM J. Discrete Math., 5 (1992), pp. 586-595.
    • (1992) SIAM J. Discrete Math , vol.5 , pp. 586-595
    • GRIGGS, J.R.1    YEH, R.K.-C.2
  • 17
    • 0019213982 scopus 로고
    • Frequency assignment: Theory and applications
    • W. K. HALE, Frequency assignment: Theory and applications, Proc. IEEE, 68 (1980), pp. 1497-1514.
    • (1980) Proc. IEEE , vol.68 , pp. 1497-1514
    • HALE, W.K.1
  • 18
    • 0037329128 scopus 로고    scopus 로고
    • Coloring the square of a planar graph
    • J. VAN DEN HEUVEL AND S. MCGUINNESS, Coloring the square of a planar graph, J. Graph Theory, 42 (2003), pp. 110-124.
    • (2003) J. Graph Theory , vol.42 , pp. 110-124
    • VAN, J.1    HEUVEL, D.2    MCGUINNESS, S.3
  • 19
    • 34249018754 scopus 로고    scopus 로고
    • Ph.D. dissertation, Math. Dept, University of South Carolina, Columbia, SC August
    • X. T. JIN, Real Number Graph Labeling with Distance Conditions, Ph.D. dissertation, Math. Dept., University of South Carolina, Columbia, SC August, 2005.
    • (2005) Real Number Graph Labeling with Distance Conditions
    • JIN, X.T.1
  • 20
    • 14644429722 scopus 로고    scopus 로고
    • Graph distance-dependent labeling related to code assignment in computer networks
    • X. T. JIN AND R. K. YEH, Graph distance-dependent labeling related to code assignment in computer networks, Naval Res. Logist., 52 (2005), pp. 159-164.
    • (2005) Naval Res. Logist , vol.52 , pp. 159-164
    • JIN, X.T.1    YEH, R.K.2
  • 21
    • 0041884948 scopus 로고    scopus 로고
    • A theorem about the channel assignment problem
    • D. KRÁL' AND R. SKREKOVSKI, A theorem about the channel assignment problem, SIAM J. Discrete Math., 16 (2003), pp. 426-437.
    • (2003) SIAM J. Discrete Math , vol.16 , pp. 426-437
    • KRÁL', D.1    SKREKOVSKI, R.2
  • 22
    • 0031270671 scopus 로고    scopus 로고
    • A unified approach to the assignment of radio channels to a regular hexagonal grid
    • R. A. LEESE, A unified approach to the assignment of radio channels to a regular hexagonal grid, IEEE Trans. Vehicular Tech., 46 (1997), pp. 969-980.
    • (1997) IEEE Trans. Vehicular Tech , vol.46 , pp. 969-980
    • LEESE, R.A.1
  • 23
    • 3042585226 scopus 로고    scopus 로고
    • R. A. LEESE AND S. D. NOBLE, Cyclic labelings with constraints at two distances, Electron. J. Combin., 11 (2004), #R16, 16pp.
    • R. A. LEESE AND S. D. NOBLE, Cyclic labelings with constraints at two distances, Electron. J. Combin., 11 (2004), #R16, 16pp.
  • 24
    • 34249051252 scopus 로고    scopus 로고
    • J. MINTZ, A. NEWCOMER, AND J. C. PRINCE, A channel assignment model: The span without a face, UMAP J., 21 (2000), pp. 311-326.
    • J. MINTZ, A. NEWCOMER, AND J. C. PRINCE, A channel assignment model: The span without a face, UMAP J., 21 (2000), pp. 311-326.
  • 25
    • 0038722910 scopus 로고    scopus 로고
    • Circular Colorings of Edge-Weighted Graphs
    • B. MOHAR, Circular Colorings of Edge-Weighted Graphs, J. Graph Theory, 43 (2003), pp. 107-116.
    • (2003) J. Graph Theory , vol.43 , pp. 107-116
    • MOHAR, B.1
  • 27
    • 34249016826 scopus 로고    scopus 로고
    • F. S. ROBERTS, Working Group Agenda, DIMACS/DIMATIA/Renyi Working Group on Graph Colorings and their Generalizations, 2003, posted online at http://dimacs.rutgers.edu/Workshops/GraphColor/main.html.
    • F. S. ROBERTS, Working Group Agenda, DIMACS/DIMATIA/Renyi Working Group on Graph Colorings and their Generalizations, 2003, posted online at http://dimacs.rutgers.edu/Workshops/GraphColor/main.html.
  • 28
    • 0000380901 scopus 로고
    • Labelling chordal graphs: Distance two condition
    • D. SAKAI, Labelling chordal graphs: Distance two condition, SIAM J. Discrete Math., 7 (1994), pp. 133-140.
    • (1994) SIAM J. Discrete Math , vol.7 , pp. 133-140
    • SAKAI, D.1
  • 30
    • 34249052731 scopus 로고    scopus 로고
    • Optimal Channel Assignments, personal communication, 2001
    • D. ZHU AND A. SHI, Optimal Channel Assignments, personal communication, 2001.
    • ZHU, D.1    SHI, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.