메뉴 건너뛰기




Volumn 19, Issue 4, 2005, Pages 985-1003

Labelling cayley graphs on abelian groups

Author keywords

number; j,k number; Cayley graph; Channel assignment; Hamming graph; Hypercube; L(j, k) labelling; Radio chromatic number

Indexed keywords

INTEGER PROGRAMMING; MATHEMATICAL MODELS; MATRIX ALGEBRA; NUMBER THEORY; NUMERICAL METHODS;

EID: 33751174518     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480102404458     Document Type: Article
Times cited : (29)

References (30)
  • 3
    • 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
  • 4
    • 0037281452 scopus 로고    scopus 로고
    • Distance-two labelings of graphs
    • G. J. CHANG AND C. LU, Distance-two labelings of graphs, European J. Combin., 24 (2003), pp. 53-58.
    • (2003) European J. Combin. , vol.24 , pp. 53-58
    • Chang, G.J.1    Lu, C.2
  • 6
    • 14644408754 scopus 로고    scopus 로고
    • On labeling the vertices of products of complete graphs with distance constraints
    • D. J. ERWIN, J. P. GEORGES, AND D. W. MAURO, On labeling the vertices of products of complete graphs with distance constraints, Naval Res. Logist., 52 (2005), pp. 138-141.
    • (2005) Naval Res. Logist. , vol.52 , pp. 138-141
    • Erwin, D.J.1    Georges, J.P.2    Mauro, D.W.3
  • 7
    • 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
  • 8
    • 0037904698 scopus 로고    scopus 로고
    • j-numbers of the products of complete graphs
    • j-numbers of the products of complete graphs, Congr. Numer., 140 (1999), pp. 141-160.
    • (1999) Congr. Numer. , vol.140 , pp. 141-160
    • Georges, J.P.1    Mauro, D.W.2
  • 9
    • 0038580941 scopus 로고    scopus 로고
    • Labeling products of complete graphs with a condition at distance two
    • J. P. GEORGES, D. W. MAURO, AND M. I. STEIN, Labeling products of complete graphs with a condition at distance two, SIAM J. Discrete Math., 14 (2000), pp. 28-35.
    • (2000) SIAM J. Discrete Math. , vol.14 , pp. 28-35
    • Georges, J.P.1    Mauro, D.W.2    Stein, M.I.3
  • 10
    • 0038580940 scopus 로고
    • Relating path coverings to vertex labellings with a condition at distance two
    • J. P. GEORGES, D. W. MAURO, AND M. A. WHITTLESEY, Relating path coverings to vertex labellings with a condition at distance two, Discrete Math., 135 (1994), pp. 103-111.
    • (1994) Discrete Math. , vol.135 , pp. 103-111
    • Georges, J.P.1    Mauro, D.W.2    Whittlesey, M.A.3
  • 11
    • 0000801332 scopus 로고
    • Labelling graphs with a condition at distance two
    • J. R. GRIGGS AND R. K. YEH, Labelling graphs with a condition at distance two, 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.2
  • 12
    • 0347380718 scopus 로고
    • Every connected regular graph of even degree is a Schreier coset graph
    • J. L. GROSS, Every connected regular graph of even degree is a Schreier coset graph, J. Combinatorial Theory Ser. B, 22 (1977), pp. 227-232.
    • (1977) J. Combinatorial Theory Ser. B , vol.22 , pp. 227-232
    • Gross, J.L.1
  • 13
    • 0019213982 scopus 로고
    • Frequency assignment: Theory and applications
    • W. K. HALE, Frequency assignment: Theory and applications, Proc. IEEE, 68 (1080), pp. 1497-1514.
    • (1080) Proc. IEEE , vol.68 , pp. 1497-1514
    • Hale, W.K.1
  • 15
    • 0141879293 scopus 로고    scopus 로고
    • Graphs whose radio coloring number equals the number of nodes
    • Graph colouring and Applications (Montréal, QC, 1997), AMS, Providence, RI
    • F. HARARY AND M. PLANTHOLT, Graphs whose radio coloring number equals the number of nodes, in Graph colouring and Applications (Montréal, QC, 1997), CRM Proc. Lecture Notes 23, AMS, Providence, RI, 1999, pp. 99-100.
    • (1999) CRM Proc. Lecture Notes , vol.23 , pp. 99-100
    • Harary, F.1    Plantholt, M.2
  • 16
    • 0242711015 scopus 로고
    • Graphs with transitive abelian automorphism group
    • Colloq. Math. Soc. János Bolyai, North-Holland, Amsterdam
    • W. IMRICH, Graphs with transitive abelian automorphism group, in Combin. Theory Appl., Vol. 4, Colloq. Math. Soc. János Bolyai, North-Holland, Amsterdam, 1970, pp. 651-656.
    • (1970) Combin. Theory Appl. , vol.4 , pp. 651-656
    • Imrich, W.1
  • 18
    • 0346557757 scopus 로고
    • On automorphism groups of Cayley graphs
    • W. IMRICH AND M. E. WATKINS, On automorphism groups of Cayley graphs, Period. Math. Hungar., 7 (1976), pp. 243-258.
    • (1976) Period. Math. Hungar. , vol.7 , pp. 243-258
    • Imrich, W.1    Watkins, M.E.2
  • 20
    • 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
  • 21
    • 0038707567 scopus 로고
    • Hamiltonian circuits in Cayley graphs
    • D. MARǓSIČ, Hamiltonian circuits in Cayley graphs, Discrete Math., 46 (1983), pp. 49-54.
    • (1983) Discrete Math. , vol.46 , pp. 49-54
    • Marǔsič, D.1
  • 22
    • 0013110657 scopus 로고
    • T-colorings of graphs: Recent results and open problems
    • F. S. ROBERTS, T-colorings of graphs: Recent results and open problems, Discrete Math., 93 (1991), pp. 229-245.
    • (1991) Discrete Math. , vol.93 , pp. 229-245
    • Roberts, F.S.1
  • 23
    • 0041597722 scopus 로고
    • No-hole 2-distant colorings
    • Graph-theoretic Models in Computer Science II (Las Cruces, NM, 1988-1990)
    • F. S. ROBERTS, No-hole 2-distant colorings, in Graph-theoretic Models in Computer Science II (Las Cruces, NM, 1988-1990), Math. Comput. Modelling, 17 (1993), pp. 139-144.
    • (1993) Math. Comput. Modelling , vol.17 , pp. 139-144
    • Roberts, F.S.1
  • 24
    • 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
  • 25
    • 0004248978 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • J. S. ROSE, A Course on Group Theory, Cambridge University Press, Cambridge, UK, 1978.
    • (1978) A Course on Group Theory
    • Rose, J.S.1
  • 26
    • 33751171745 scopus 로고    scopus 로고
    • personal communication
    • A. W. TO, personal communication, 2003.
    • (2003)
    • To, A.W.1
  • 27
    • 33751168705 scopus 로고    scopus 로고
    • The cost of radio-colouring paths and cycles
    • Graph Colouring and Applications (Montréal, QC, 1997), AMS, Providence, RI
    • T. WALSH, The cost of radio-colouring paths and cycles, in Graph Colouring and Applications (Montréal, QC, 1997), CRM Proc. Lecture Notes 23, AMS, Providence, RI, 1999, pp. 131-133.
    • (1999) CRM Proc. Lecture Notes , vol.23 , pp. 131-133
    • Walsh, T.1
  • 28
    • 0010908769 scopus 로고    scopus 로고
    • Near-optimal conflict-free channel set assignments for an optical cluster-based hypercube network
    • P.-J. WAN, Near-optimal conflict-free channel set assignments for an optical cluster-based hypercube network, J. Comb. Optim., 1 (1997), pp. 179-186.
    • (1997) J. Comb. Optim. , vol.1 , pp. 179-186
    • Wan, P.-J.1
  • 30
    • 0039207420 scopus 로고
    • Ph.D. thesis, Department of Mathematics, University of South Carolina, Columbia, SC
    • R. K. YEH, Labelling graphs with a condition at distance two, Ph.D. thesis, Department of Mathematics, University of South Carolina, Columbia, SC, 1990.
    • (1990) Labelling Graphs with a Condition at Distance Two
    • Yeh, R.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.