期刊文献+

零度为1的相交双圈图刻划

The Characterization of Intersected Bicycle Graph with Nullity One
下载PDF
导出
摘要 含有n个顶点,n+1条边的简单连通图称为双圈图.图的零度是指在图的谱中0特征值的重数.论文刻画了零度为1的所有相交双圈图的集合. A simple connected graph is called a bicycle graph if it has n vertices and n+l edges. The nullity of a graph G is defined to be the multiplicity of the eigenvalue zero in its spectrum. This paper characterizes all the intersected bicycle graphs with nullity one.
作者 梁娟 朱东旭
出处 《漳州师范学院学报(自然科学版)》 2012年第4期4-10,共7页 Journal of ZhangZhou Teachers College(Natural Science)
基金 福建省自然科学基金资助项目(2012D139)
关键词 邻接矩阵 图的谱 图的零度 相交双圈图 完美匹配 adjacency matrix spectrum of graphs nullity of graphs intersected bicycle graphs perfectmatching
  • 相关文献

参考文献9

二级参考文献31

  • 1林福财.无交双圈图的邻接矩阵的奇异性[J].数学研究,2004,37(3):321-324. 被引量:7
  • 2COLLATZ L, SINOGOWITZ U. Spektren endlicher Grafen[J]. Abh Math Sem Univ Hamburg, 1957, 21: 63-77.
  • 3LONGUET-HIGGINS H C. Resonance structures and MO in unsaturated hydrocarbons[J]. Journal of Chemistry and Physics, 1950, 18: 265-274.
  • 4CVETKOVIC D M, DOOB M, SACHS H. Spectra of Graphs[M]. [s.l.]: Johann Ambrosius Barth Verlag, 1995.
  • 5CVETKOVIC D M, GUTMAN I, TRINAJSTIC N. Graph theory and molecular orbitals, II. Croat[J]. Chem Acta, 1972, 44: 365-374.
  • 6GUTMAN I, KENNEDY J W, SERVATIUS B. Tree singularity and a chemical background to singular graphs[J]. Graph Theory Notes New York, 1994, 27: 33-41.
  • 7SCIRIHA I. On singular line graphs of trees[J]. Congr Numer, 1998, 135: 73-91.
  • 8SCIRIHA I. The two classes of singular line graphs of trees[J]. Rend Sem Mat Messina, Ser II, 1999(5): 167-180.
  • 9MARINO M C, SCIRIHA I, SIMIC S K, et al. More about singular line graphs of trees[J]. Publications De L'Institut Mathematique, Nouvelle serie, 2006, 79(93): 1-12.
  • 10SCIRIHA I. On the construction of graphs of nullity one[J]. Discrete Mathematics, 1998, 181: 193-211.

共引文献22

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部