数学与计算机科学 |
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关于边-多重路替换图的1,2,3-猜想和1,2-猜想 |
吕大梅, 林文松 |
1. 南通大学 理学院, 江苏 南通 226007; 2. 东南大学 数学系, 江苏 南京 211189 |
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1,2,3-conjecture and 1,2-conjecture for the edge-multiplicity-paths-replacements |
LYU Damei, LIN Wensong |
1. School of Science, Nantong University, Nantong 226007, Jiangsu Province, China; 2. Department of Mathematics, Southeast University, Nanjing 211189, China |
引用本文:
吕大梅, 林文松. 关于边-多重路替换图的1,2,3-猜想和1,2-猜想[J]. 浙江大学学报(理学版), 2016, 43(6): 668-671.
LYU Damei, LIN Wensong. 1,2,3-conjecture and 1,2-conjecture for the edge-multiplicity-paths-replacements. Journal of ZheJIang University(Science Edition), 2016, 43(6): 668-671.
链接本文:
https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2016.06.007
或
https://www.zjujournals.com/sci/CN/Y2016/V43/I6/668
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[1] ADDARIO-BERRY L, DALAL K, REED B A. Degree constrained subgraphs[J]. Discrete Applied Mathematics, 2008,156(7):1168-1174. [2] KARONSKI M, LUCZAK T, THOMASON A. Edge weights and vertex colours[J]. Journal of Combinatorial Theory:Ser B,2004,91(1):151-157. [3] PRZYBYLO J, WOZNIAK M. 1, 2 Conjecture[J/OL]. Matematyka Dyskretna, 2007. www.ii.uj.edu.pl/documents/12980385/35169997/MD24.pdf. [4] BACA M, JENDROL S, MILLER M, et al. On irregular total labellings[J]. Discrete Math, 2007,307:1378-1388. [5] CHARTRAND G, JACOBSON M S, LEHEL J, et al. Irregular networks[C]//The 250th Anniversary Conference on Graph Theory. Winnipeg:Utilitas Mathematica Publishing lnc., 1986. [6] WHITTLESEY M A,GEORGES J P, MAURO D W. On the λ-number of Qn and related graphs[J]. Discrete Math,1995(8):449-506. [7] LYU D M. L(2,1)-labelings of the edge-path-replacement of a graph[J]. Comb Optim, 2013,26:385-392. [8] LYU D M. L(d,1)-labelings of the edge-path-replacement of a graph[J]. Comb Optim, 2013,26:819-831. [9] KARST N, OEHRLEIN J, TROXELL D S, et al. L(d,1)-labelings of the edge-path-replacement by factorization of graphs[J]. Comb Optim,2015,30:34-41. |
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