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Volumn 306, Issue 12, 2006, Pages 1217-1231

A survey on labeling graphs with a condition at distance two

Author keywords

Code assignment; Graph labeling

Indexed keywords

COMPUTER NETWORKS; NUMBER THEORY; PROBLEM SOLVING; SET THEORY;

EID: 33747032334     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disc.2005.11.029     Document Type: Article
Times cited : (205)

References (59)
  • 2
    • 0035268622 scopus 로고    scopus 로고
    • A randomized saturation-degree heuristic for channel assignment in cellular radio networks
    • Battiti R., Bertossi A.A., and Cavallaro D. A randomized saturation-degree heuristic for channel assignment in cellular radio networks. IEEE Trans. Vehicular Tech. 50 (2001) 364-374
    • (2001) IEEE Trans. Vehicular Tech. , vol.50 , pp. 364-374
    • Battiti, R.1    Bertossi, A.A.2    Cavallaro, D.3
  • 3
    • 0029354351 scopus 로고
    • Code assignment for hidden terminal interference avoidance in multihop packet radio networks
    • Bertossi A.A., and Bonuccelli M.A. Code assignment for hidden terminal interference avoidance in multihop packet radio networks. IEEE/ACM Trans. Networking 3 (1995) 441-449
    • (1995) IEEE/ACM Trans. Networking , vol.3 , pp. 441-449
    • Bertossi, A.A.1    Bonuccelli, M.A.2
  • 4
    • 84947219291 scopus 로고    scopus 로고
    • A.A. Bertossi, M.C. Pinotti, R. Rizzi, Channel assignment on strongly-simplicial graphs, IEEE Proceedings of the International Parallel and Distribution Processing Symposium, 2003.
  • 5
    • 0037963009 scopus 로고    scopus 로고
    • Channel assignment with separation for interference avoidance in wireless networks
    • Bertossi A.A., Pinotti M.C., and Tan R.B. Channel assignment with separation for interference avoidance in wireless networks. IEEE Trans. Parallel Distrib. Systems 14 (2003) 222-235
    • (2003) IEEE Trans. Parallel Distrib. Systems , vol.14 , pp. 222-235
    • Bertossi, A.A.1    Pinotti, M.C.2    Tan, R.B.3
  • 6
    • 34247128977 scopus 로고    scopus 로고
    • H.L. Bodlaender, T. Kloks, R.B. Tan, J.V. Leeuwen, λ-coloring of graphs, Lecture Notes in Computer Science, vol. 1770, Springer, Berlin, Heidelberg, 2000, pp. 395-406.
  • 9
    • 33747079566 scopus 로고    scopus 로고
    • T. Calamoneri, A. Pelc, R. Petreschi, Labeling trees with a condition at distance two, Discrete Math., to appear.
  • 12
    • 0030367240 scopus 로고    scopus 로고
    • The L ( 2, 1 )-labeling on graphs
    • Chang G.J., and Kuo D. The L ( 2, 1 )-labeling on graphs. SIAM J. Discrete Math. 9 (1996) 309-316
    • (1996) SIAM J. Discrete Math. , vol.9 , pp. 309-316
    • Chang, G.J.1    Kuo, D.2
  • 13
    • 21144456361 scopus 로고    scopus 로고
    • The L ( 2, 1 )-labeling problem on ditrees
    • Chang G.J., and Liaw S.-C. The L ( 2, 1 )-labeling problem on ditrees. Ars Combin. 66 (2003) 23-31
    • (2003) Ars Combin. , vol.66 , pp. 23-31
    • Chang, G.J.1    Liaw, S.-C.2
  • 14
    • 0037281452 scopus 로고    scopus 로고
    • Distance-two labelings of graphs
    • Chang G.J., and Lu C. Distance-two labelings of graphs. European J. Combin. 24 (2003) 53-58
    • (2003) European J. Combin. , vol.24 , pp. 53-58
    • Chang, G.J.1    Lu, C.2
  • 15
    • 33747063831 scopus 로고    scopus 로고
    • Y.-S. Chen, A study on graph labellings with two levels of constraint, Master Thesis, Department of Applied Mathematics, Feng Chia University, Taichung, Taiwan, 2000.
  • 16
    • 33747047287 scopus 로고    scopus 로고
    • S.-H. Chiang, On L ( d, 1 )-labeling of Cartesian product of a cycle and a path, Master Thesis, Department of Mathematics, Aletheia University, Tamsui, Taipei, Taiwan, 2004.
  • 17
    • 14644408754 scopus 로고    scopus 로고
    • On labeling the vertices of products of complete graphs with distance constraints
    • Erwin D.J., Georges J.P., and Mauro D.W. On labeling the vertices of products of complete graphs with distance constraints. Naval Res. Logist. 52 (2005) 138-144
    • (2005) Naval Res. Logist. , vol.52 , pp. 138-144
    • Erwin, D.J.1    Georges, J.P.2    Mauro, D.W.3
  • 18
    • 84947749416 scopus 로고    scopus 로고
    • J. Fiala, T. Kloks, J. Kratochíl, Fixed-parameter complexity of λ-labelings, in: Lecture Notes in Computer Science, vol. 1665, Springer, Berlin, 1999, pp. 350-363.
  • 19
    • 33747033453 scopus 로고    scopus 로고
    • P.C. Fishburn, F.S. Roberts, Full color theorems for L ( 2, 1 )-colorings, DIMACS Technical Report 2000-08, 2000.
  • 20
    • 33747050946 scopus 로고    scopus 로고
    • P.C. Fishburn, F.S. Roberts, Minimum forbidden graphs for L ( 2, 1 )-colorings, DIMACS Technical Report 2000-32, 2000.
  • 22
    • 0038580933 scopus 로고
    • On the criticality of graphs labelled with a condition at distance two
    • Georges J., and Mauro D.W. On the criticality of graphs labelled with a condition at distance two. Congr. Numer. 101 (1994) 33-49
    • (1994) Congr. Numer. , vol.101 , pp. 33-49
    • Georges, J.1    Mauro, D.W.2
  • 23
    • 0037566612 scopus 로고
    • Generalized vertex labelings with a condition at distance two
    • Georges J., and Mauro D.W. Generalized vertex labelings with a condition at distance two. Congr. Numer. 109 (1995) 141-159
    • (1995) Congr. Numer. , vol.109 , pp. 141-159
    • Georges, J.1    Mauro, D.W.2
  • 24
    • 0030555034 scopus 로고    scopus 로고
    • On the size of graphs labeled with a condition at distance two
    • Georges J., and Mauro D.W. On the size of graphs labeled with a condition at distance two. J. Graph Theory 22 (1996) 47-57
    • (1996) J. Graph Theory , vol.22 , pp. 47-57
    • Georges, J.1    Mauro, D.W.2
  • 25
    • 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) 141-160
    • (1999) Congr. Numer. , vol.140 , pp. 141-160
    • Georges, J.1    Mauro, D.W.2
  • 26
    • 31244435899 scopus 로고    scopus 로고
    • On generalized Petersen graphs labeled with a condition at distance two
    • Georges J.P., and Mauro D.W. On generalized Petersen graphs labeled with a condition at distance two. Discrete Math. 259 (2003) 311-318
    • (2003) Discrete Math. , vol.259 , pp. 311-318
    • Georges, J.P.1    Mauro, D.W.2
  • 27
    • 0038480143 scopus 로고    scopus 로고
    • Labeling trees with a condition at distance two
    • Georges J.P., and Mauro D.W. Labeling trees with a condition at distance two. Discrete Math. 269 (2003) 127-148
    • (2003) Discrete Math. , vol.269 , pp. 127-148
    • Georges, J.P.1    Mauro, D.W.2
  • 28
    • 2542461499 scopus 로고    scopus 로고
    • J.P. Georges, D.W. Mauro, On regular graphs optimally labeled with a condition at distance two, SIAM J. Discrete Math. (2003) 320-331.
  • 29
    • 0038580941 scopus 로고    scopus 로고
    • Labeling products of complete graphs with a condition at distance two
    • Georges J.P., Mauro D.W., and Stein M.I. Labeling products of complete graphs with a condition at distance two. SIAM J. Discrete Math. 14 (2000) 28-35
    • (2000) SIAM J. Discrete Math. , vol.14 , pp. 28-35
    • Georges, J.P.1    Mauro, D.W.2    Stein, M.I.3
  • 30
    • 0038580940 scopus 로고
    • Relating path covering to vertex labelings with a condition at distance two
    • Georges J., Mauro D.W., and Whittlesey M. Relating path covering to vertex labelings with a condition at distance two. Discrete Math. 135 (1994) 103-111
    • (1994) Discrete Math. , vol.135 , pp. 103-111
    • Georges, J.1    Mauro, D.W.2    Whittlesey, M.3
  • 31
    • 0347646817 scopus 로고    scopus 로고
    • Coloring weighted bipartite graphs with co-site constraint
    • Gerke S. Coloring weighted bipartite graphs with co-site constraint. Discrete Math. 224 (2004) 125-138
    • (2004) Discrete Math. , vol.224 , pp. 125-138
    • Gerke, S.1
  • 33
    • 0000801332 scopus 로고
    • Labeling graphs with a condition at distance two
    • Griggs J.R., and Yeh R.K. Labeling graphs with a condition at distance two. SIAM J. Discrete Math. 5 (1992) 586-595
    • (1992) SIAM J. Discrete Math. , vol.5 , pp. 586-595
    • Griggs, J.R.1    Yeh, R.K.2
  • 35
    • 0001009871 scopus 로고
    • 2.5 ) algorithm for maximum matching in bipartite graphs
    • 2.5 ) algorithm for maximum matching in bipartite graphs. SIAM J. Comput. 2 (1973) 225-231
    • (1973) SIAM J. Comput. , vol.2 , pp. 225-231
    • Hopcroft, J.1    Karp, R.M.2
  • 36
    • 0034291759 scopus 로고    scopus 로고
    • Optimal L ( 2, 1 )-labeling of Cartesian products of cycles with an application to independent domination
    • Jha P.K. Optimal L ( 2, 1 )-labeling of Cartesian products of cycles with an application to independent domination. IEEE Trans. Circuits and Systems-I 47 (2000) 1531-1534
    • (2000) IEEE Trans. Circuits and Systems-I , vol.47 , pp. 1531-1534
    • Jha, P.K.1
  • 37
    • 0035305128 scopus 로고    scopus 로고
    • Optimal L ( 2, 1 )-labeling of strong products of cycles
    • Jha P.K. Optimal L ( 2, 1 )-labeling of strong products of cycles. IEEE Trans. Circuits and Systems-I 48 (2001) 498-500
    • (2001) IEEE Trans. Circuits and Systems-I , vol.48 , pp. 498-500
    • Jha, P.K.1
  • 38
    • 0039623182 scopus 로고    scopus 로고
    • On L ( 2, 1 )-labeling of the Cartesian product of a cycle and a path
    • Jha P.K., Narayanan A., Sood P., Sundaram K., and Sunder V. On L ( 2, 1 )-labeling of the Cartesian product of a cycle and a path. Ars Combin. 55 (2000) 81-89
    • (2000) Ars Combin. , vol.55 , pp. 81-89
    • Jha, P.K.1    Narayanan, A.2    Sood, P.3    Sundaram, K.4    Sunder, V.5
  • 39
    • 33747064696 scopus 로고    scopus 로고
    • X.T. Jin, Real number graph labeling with distance conditions, Ph.D. Thesis, Department of Mathematics, University of South Carolina, Columbia, SC, USA, 2005.
  • 40
    • 14644429722 scopus 로고    scopus 로고
    • Graph distance-dependent labeling related to code assignment in computer networks
    • Jin X.T., and Yeh R.K. Graph distance-dependent labeling related to code assignment in computer networks. Naval Res. Logist. 52 (2005) 159-164
    • (2005) Naval Res. Logist. , vol.52 , pp. 159-164
    • Jin, X.T.1    Yeh, R.K.2
  • 41
    • 33747036438 scopus 로고    scopus 로고
    • K. Jonas, Graph colorings analogues with a condition at distance two: L ( 2, 1 )-labelings and list λ-labelings, Ph.D. Thesis, Department of Mathematics University of South Carolina, Columbia, SC, USA, 1993.
  • 43
    • 8344223280 scopus 로고    scopus 로고
    • Computing graph invariants on rotagraphs using dynamic algorithm approach: the case of (2,1)-colorings and independence numbers
    • Klavžar S., and Vesel A. Computing graph invariants on rotagraphs using dynamic algorithm approach: the case of (2,1)-colorings and independence numbers. Discrete Appl. Math. 129 (2003) 449-460
    • (2003) Discrete Appl. Math. , vol.129 , pp. 449-460
    • Klavžar, S.1    Vesel, A.2
  • 44
    • 0041884948 scopus 로고    scopus 로고
    • A theorem about channel assignment problem
    • Král' D., and Škrekovski R. A theorem about channel assignment problem. SIAM J. Discrete Math. 16 (2003) 426-437
    • (2003) SIAM J. Discrete Math. , vol.16 , pp. 426-437
    • Král', D.1    Škrekovski, R.2
  • 45
    • 2442685837 scopus 로고    scopus 로고
    • On L ( 2, 1 )-labeling of Cartesian products of paths and cycles
    • Kuo D., and Yan J.-H. On L ( 2, 1 )-labeling of Cartesian products of paths and cycles. Discrete Math. 283 (2004) 137-144
    • (2004) Discrete Math. , vol.283 , pp. 137-144
    • Kuo, D.1    Yan, J.-H.2
  • 46
    • 0035815451 scopus 로고    scopus 로고
    • Hamiltonicity and circular distance two labellings
    • Liu D.D.-F. Hamiltonicity and circular distance two labellings. Discrete Math. 232 (2001) 163-169
    • (2001) Discrete Math. , vol.232 , pp. 163-169
    • Liu, D.D.-F.1
  • 47
    • 0041111017 scopus 로고    scopus 로고
    • On distance-two labelings of graphs
    • Liu D.D.-F., and Yeh R.K. On distance-two labelings of graphs. Ars Combin. 47 (1997) 13-22
    • (1997) Ars Combin. , vol.47 , pp. 13-22
    • Liu, D.D.-F.1    Yeh, R.K.2
  • 48
    • 33747044943 scopus 로고    scopus 로고
    • D.D.-F. Liu, X. Zhu, Circulant distant two labeling and circular chromatic number, manuscript.
  • 49
    • 0000380901 scopus 로고
    • Labeling chordal graphs with a condition at distance two
    • Sakai D. Labeling chordal graphs with a condition at distance two. SIAM J. Discrete Math. 7 (1994) 133-140
    • (1994) SIAM J. Discrete Math. , vol.7 , pp. 133-140
    • Sakai, D.1
  • 50
    • 16344378111 scopus 로고    scopus 로고
    • The L ( 2, 1 )-labeling and operations of graphs
    • Shao Z.-D., and Yeh R.K. The L ( 2, 1 )-labeling and operations of graphs. IEEE Trans. Circuits and Systems-I 52 (2005) 668-671
    • (2005) IEEE Trans. Circuits and Systems-I , vol.52 , pp. 668-671
    • Shao, Z.-D.1    Yeh, R.K.2
  • 51
    • 84947264392 scopus 로고    scopus 로고
    • M.V.S. Shashanka, A. Pati, A.M. Shende, A characterization of optimal channel assignments for wireless networks modelled as cellular and square grids, IEEE Proceedings of the International Parallel and Distribution Processing Symposium, 2003.
  • 52
    • 2542440900 scopus 로고    scopus 로고
    • Labeling planar graphs with conditions on girth and distance two
    • Wang W.-F., and Lih K.-W. Labeling planar graphs with conditions on girth and distance two. SIAM J. Discrete Math. 17 (2003) 264-275
    • (2003) SIAM J. Discrete Math. , vol.17 , pp. 264-275
    • Wang, W.-F.1    Lih, K.-W.2
  • 55
    • 0038072421 scopus 로고    scopus 로고
    • Labeling graphs with the circular difference
    • Wu K.-F., and Yeh R.K. Labeling graphs with the circular difference. Taiwanese J. Math. 4 (2000) 397-405
    • (2000) Taiwanese J. Math. , vol.4 , pp. 397-405
    • Wu, K.-F.1    Yeh, R.K.2
  • 56
    • 33747080270 scopus 로고    scopus 로고
    • D.-F. Yang, Algorithmic aspect of the L ( d, 1 )-labeling on trees: revisited, Master Thesis, Department of Applied Mathematics, Feng Chia University, Taichung, Taiwan, 1998.
  • 57
    • 33747074099 scopus 로고    scopus 로고
    • R.K. Yeh, Labeling graphs with a condition at distance two, Ph.D. Thesis, Department of Mathematics, University of South Carolina, 1990.
  • 58
    • 0038748970 scopus 로고    scopus 로고
    • The edge span of distance two labelings of graphs
    • Yeh R.K. The edge span of distance two labelings of graphs. Taiwanese J. Math. 4 (2000) 675-683
    • (2000) Taiwanese J. Math. , vol.4 , pp. 675-683
    • Yeh, R.K.1
  • 59
    • 0033722049 scopus 로고    scopus 로고
    • Generalized vertex colorings of partial k-trees
    • Zhou X., Kanari Y., and Nishizeki T. Generalized vertex colorings of partial k-trees. IEICE Trans. Fundamentals E83-A (2000) 671-678
    • (2000) IEICE Trans. Fundamentals , vol.E83-A , pp. 671-678
    • Zhou, X.1    Kanari, Y.2    Nishizeki, T.3


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