文摘
A cycle of length 5 with a chordal , i.e. an edge joining two non-adjacent vertices of the cycle, is called a graph formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0012365X15004239&_mathId=si1.gif&_user=111111111&_pii=S0012365X15004239&_rdoc=1&_issn=0012365X&md5=85374b21fb14dc1341b266f8cfd033a1" title="Click to view the MathML source">H5 or also an House-graph . In this paper, the spectrum of House-systems nesting formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0012365X15004239&_mathId=si2.gif&_user=111111111&_pii=S0012365X15004239&_rdoc=1&_issn=0012365X&md5=c6392ae7a087e19e202407dbb880b055" title="Click to view the MathML source">C3-systems, formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0012365X15004239&_mathId=si3.gif&_user=111111111&_pii=S0012365X15004239&_rdoc=1&_issn=0012365X&md5=6801fa9844c39aef308582cd454b1e11" title="Click to view the MathML source">C4-systems, formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0012365X15004239&_mathId=si4.gif&_user=111111111&_pii=S0012365X15004239&_rdoc=1&_issn=0012365X&md5=a7c7fadf71e8461fdc470e63eab436e8" title="Click to view the MathML source">C5-systems and together formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0012365X15004239&_mathId=si5.gif&_user=111111111&_pii=S0012365X15004239&_rdoc=1&_issn=0012365X&md5=506c00c33c6425e55c8eb61afb48b3cc" title="Click to view the MathML source">(C3,C4,C5)-systems, of all admissible indices are completely determined, without exceptions.