On the spectral determinations of the connected multicone graphs

References

• BrouwerA.E., HaemersW.H. Spectra of Graphs Universitext 2012Springer New York
   Google Scholar
• Van DamE.R., HaemersW.H., Which graphs are determined by their spectrum?, Linear Algebra Appl., 373 2003 241–272
   Web of Science ®Google Scholar
• Van DamE.R., HaemersW.H., Developments on spectral characterizations of graphs, Discrete Math., 309 2009 576–586
   Web of Science ®Google Scholar
• BouletR., JouveB., The lollipop graph is determined by its spectrum, Electron. J. Combin., 15 2008 R74
   Web of Science ®Google Scholar
• CioabäS.M., HaemersW.H., VermetteJ., WongW., Graphs with all but two eigenvalues equal to ±1, J. Algebraic Combin., 41 2015 887–897
   Web of Science ®Google Scholar
• DoobM., HaemersW.H., The complement of the path is determined by its spectrum, Linear Algebra Appl., 356 2002 57–65
   Web of Science ®Google Scholar
• HaemersW.H., LiuX.G., ZhangY.P., Spectral characterizations of lollipop graphs, Linear Algebra Appl., 428 2008 2415–2423
   Web of Science ®Google Scholar
• LiuY., SunY.Q., On the second Laplacian spectral moment of a graph, Czechoslovak Math. J., 2 2010 401–410
   Google Scholar
• SharafdiniR., AbdianA.Z., Signless Laplacian determinations of some graphs with independent edges, Carpat. Math. Pub., 10 2018 185-196
   Web of Science ®Google Scholar
• WangW., XuC., A sufficient condition for a family of graphs being determined by their generalized spectra, European J. Combin., 27 2006 826–840
   Web of Science ®Google Scholar
• WangJ., BelardoF., HuangQ., BorovicaninB., On the two largest Q-eigenvalues of graphs, Discrete Math., 310 2010 2858–2866
   Web of Science ®Google Scholar
• HararyF., KingC., MowshowitzA., ReadR., Cospectral graphs and digraphs, Bull. Lond. Math. Soc., 3 1971 321–328
   Google Scholar
• SchwenkA.J., Almost all trees are cospectral HararyF.New Directions in the Theory of Graphs1973Academic Press275–307
   Google Scholar
• ErdösP., RéyniA., SósV., T., On a problem of graph theory, Studia Sci. Math. Hungar., 1 1966 215–235
   Google Scholar
• WangJ., ZhaoH., HuangQ., Spectral characterization of multicone graphs, Czechoslovak Math. J., 62 2012 117–126
   Web of Science ®Google Scholar
• AbdianA.Z., MirafzalS.M., On new classes of multicone graph determined by their spectrums, Algebr. Struct. Appl., 2 2015 23–34
   Google Scholar
• AbdianA.Z., Graphs which are determined by their spectrum, Konuralp J. Math., 4 2016 34–41
   Google Scholar
• AbdianA.Z., Two classes of multicone graphs determined by their spectra, J. Math. Ext., 10 2016 111–121
   Web of Science ®Google Scholar
• AbdianA.Z., Graphs cospectral with multicone graphs Kw▽L(P), TWMS. J. Appl. Eng. Math., 7 2017 181–187
   Web of Science ®Google Scholar
• A.Z. Abdian, The spectral determination of the multicone graphs Kw▽P, 2017. arXiv preprintarXiv:1703.08728.
   Google Scholar
• AbdianA.Z., MirafzalS.M., The spectral characterizations of the connected multicone graphs Kw▽LHS and Kw▽LGQ(3,9), Discrete Math. Algorithms Appl., 10 2018 1850019
   Google Scholar
• AbdianA.Z., MirafzalS.M., The spectral determinations of the connected multicone graphs Kw▽mP17 and Kw▽mS, Czechoslovak Math. J.2018 1–14 10.21136/CMJ.2018.0098-17
   Web of Science ®Google Scholar
• A.Z. Abdian, A. Behmaram, G.H. Fath-Tabar, Graphs determined by signless Laplacian spectra, AKCE Int. J. Graphs and Combin.,http://dx.doi.org/10.1016/j.akcej.2018.06.009.
   Google Scholar
• MirafzalS.M., AbdianA.Z., Spectral characterization of new classes of multicone graphs, Stud. Univ. Babe’s-Bolyai Math., 6232017 275–286 10.24193/subbmath.2017.3.01
   Web of Science ®Google Scholar
• MirafzalS.M., AbdianA.Z., The spectral determinations of some classes of multicone graphs, J.Discrete Math. Sci. Crypt., 2112018 179–189
   Web of Science ®Google Scholar
• AbdollahiA., JanbazS., OubodM.R., Graphs cospectral with a friendship graph or its complement, Trans. Combin., 2 2013 37–52
   Google Scholar
• CvetkovićD., RowlinsonP., SimićS. An Introduction to the Theory of Graph Spectra London Mathematical Society Student Texts 2010Cambridge Univ. Press
   Google Scholar
• OboudiM.R., On the third largest eigenvalue of graphs, Linear Algebra Appl., 503 2016 164–179
   Web of Science ®Google Scholar
• OboudiM.R., Characterization of graphs with exactly two non-negative eigenvalues, Ars Mathematica Contemporanea, 12 2016 271–286
   Web of Science ®Google Scholar
• HongY., ShuJ., FangK., A sharp upper bound of the spectral radius of graphs, J. Combin. Theory Ser. B, 81 2001 177–183
   Web of Science ®Google Scholar
• WangJ., HuangQ., Spectral characterization of generalized cocktail-party graphs, J. Math. Res. Appl., 32 2012 666–672
   Google Scholar
• KnauerU., Algebraic Graph Theory, Morphisms, Monoids and Matrices 2011De Gruyter
   Google Scholar
• BapatR.B., Graphs and Matrices 2010Springer-Verlag New York
   Google Scholar
• ChengX.M., GreavesG.R.W., KoolenJ.H., Graphs with three eigenvalues and second largest eigenvalue at most 1 http://de.arxiv.org/abs/1506.02435v1
   Google Scholar
• Van DamE.R., Nonregular graphs with three eigenvalues, J. Combin. Theory Ser. B, 7321998 101–118
   Web of Science ®Google Scholar
• RowlinsonP., The main eigenvalues of a graph: a survey, Appl. Anal. Discrete Math., 1 2007 445–471
   Google Scholar
• MerrisR., Laplacian matrices of graphs: a survey, Linear Algebra Appl., 197 1994 143–176
   Google Scholar
• LiuX., LuP., Signless Laplacian spectral characterization of some joins, Electron. J. Linear Algebra, 3012015 30
   Web of Science ®Google Scholar