메뉴 건너뛰기




Volumn 156, Issue 15, 2008, Pages 2867-2881

On L (d, 1)-labeling of Cartesian product of a cycle and a path

Author keywords

Cartesian product; Chromatic number; Cycle; k L (d, 1) labeling; Path; Power

Indexed keywords

CARTESIAN PRODUCT; CARTESIAN PRODUCTS; CHROMATIC NUMBER; CYCLE; GRAPH G; K - L (D, 1)-LABELING; PATH; POWER; VERTEX SETS;

EID: 53049097915     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2007.11.019     Document Type: Article
Times cited : (28)

References (31)
  • 1
    • 33947250136 scopus 로고    scopus 로고
    • G.J. Chang, J.-J. Chen, D. Kuo, S.-C. Liaw, Distance-two labelings of digraphs, Discrete Appl. Math., in press (doi:10.1016/j.dam.2006.11.001)
    • G.J. Chang, J.-J. Chen, D. Kuo, S.-C. Liaw, Distance-two labelings of digraphs, Discrete Appl. Math., in press (doi:10.1016/j.dam.2006.11.001)
  • 3
    • 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
  • 4
    • 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
  • 5
    • 0037281452 scopus 로고    scopus 로고
    • Distance-two labeling of graphs
    • Chang G.J., and Lu C. Distance-two labeling 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
  • 7
    • 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
  • 8
    • 0037566612 scopus 로고
    • Generalized vertex labeling with a condition at distance two
    • Georges J., and Mauro D.W. Generalized vertex labeling 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
  • 9
    • 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
  • 10
    • 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
  • 11
    • 31244435899 scopus 로고    scopus 로고
    • On generalized Petersen graphs labeled with a condition at distance two
    • Georges J., and Mauro D.W. On generalized Petersen graphs labeled with a condition at distance two. Discrete Math. 259 (2002) 311-318
    • (2002) Discrete Math. , vol.259 , pp. 311-318
    • Georges, J.1    Mauro, D.W.2
  • 12
    • 2542461499 scopus 로고    scopus 로고
    • On regular graphs optimally labeled with a condition at distance two
    • Georges J., and Mauro D.W. On regular graphs optimally labeled with a condition at distance two. SIAM J. Discrete Math. 17 2 (2003) 320-331
    • (2003) SIAM J. Discrete Math. , vol.17 , Issue.2 , pp. 320-331
    • Georges, J.1    Mauro, D.W.2
  • 13
    • 0038580941 scopus 로고    scopus 로고
    • Labeling products of complete graphs with a condition at distance two
    • Georges J., 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.1    Mauro, D.W.2    Stein, M.I.3
  • 14
    • 0038580940 scopus 로고
    • Relating path covering to vertex labellings with a condition at distance two
    • Georges J., Mauro D.W., and Whittlesey M. Relating path covering to vertex labellings 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
  • 15
    • 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
  • 16
    • 0019213982 scopus 로고
    • Frequency assignment: theory and applications
    • Hale W.K. Frequency assignment: theory and applications. Proc. IEEE 68 (1980) 1497-1514
    • (1980) Proc. IEEE , vol.68 , pp. 1497-1514
    • Hale, W.K.1
  • 18
    • 0039623182 scopus 로고    scopus 로고
    • On L (2, 1)-labeling of the Cartesian product of a cycle and 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 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
  • 19
    • 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 Systems I: Fundamental Theory Appl. 47 (2000) 1531-1534
    • (2000) IEEE Trans. Circuits Systems I: Fundamental Theory Appl. , vol.47 , pp. 1531-1534
    • Jha, P.K.1
  • 20
    • 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
  • 21
    • 2442685837 scopus 로고    scopus 로고
    • On L(2,1)-labelings of Cartesian products of paths and cycles
    • Kuo D., and Yan J.H. On L(2,1)-labelings 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
  • 22
    • 0035815451 scopus 로고    scopus 로고
    • Hamiltonicity and circular distance two labelings
    • Liu D.D.-F. Hamiltonicity and circular distance two labelings. Discrete Math. 232 (2001) 163-169
    • (2001) Discrete Math. , vol.232 , pp. 163-169
    • Liu, D.D.-F.1
  • 23
    • 2442636530 scopus 로고    scopus 로고
    • Sizes of graphs with fix order and spans for circular distance-two labelings
    • Liu D.D.-F. Sizes of graphs with fix order and spans for circular distance-two labelings. Ars Combin. 67 (2003) 129-139
    • (2003) Ars Combin. , vol.67 , pp. 129-139
    • Liu, D.D.-F.1
  • 24
    • 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
  • 25
    • 33646834417 scopus 로고    scopus 로고
    • Circular distance two labeling and the λ-number for outerplanar graphs
    • Liu D.D.-F., and Zhu X. Circular distance two labeling and the λ-number for outerplanar graphs. SIAM J. Discrete Math. 19 2 (2005) 281-293
    • (2005) SIAM J. Discrete Math. , vol.19 , Issue.2 , pp. 281-293
    • Liu, D.D.-F.1    Zhu, X.2
  • 26
    • 53049097473 scopus 로고    scopus 로고
    • F.S. Roberts, Private communication through J. R. Griggs (1988)
    • F.S. Roberts, Private communication through J. R. Griggs (1988)
  • 27
    • 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
  • 28
    • 33646136881 scopus 로고    scopus 로고
    • L (2, 1)-labeling of products of two cycles
    • Schwarz C., and Troxell D.S. L (2, 1)-labeling of products of two cycles. Discrete Appl. Math. 154 (2006) 1522-1540
    • (2006) Discrete Appl. Math. , vol.154 , pp. 1522-1540
    • Schwarz, C.1    Troxell, D.S.2
  • 30
    • 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
  • 31
    • 0038748970 scopus 로고    scopus 로고
    • The edge span of distance two labeling of graphs
    • Yeh R.K. The edge span of distance two labeling of graphs. Taiwanese J. Math. 4 (2000) 675-683
    • (2000) Taiwanese J. Math. , vol.4 , pp. 675-683
    • Yeh, R.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.