scholarly journals Spectral characterization of unicyclic graphs whose second largest eigenvalue does not exceed 1

2015 ◽  
Vol 471 ◽  
pp. 587-603 ◽  
Author(s):  
Xiaoling Ma ◽  
Qiongxiang Huang ◽  
Fenjin Liu
Keyword(s):  
Spectral Characterization ◽  
Largest Eigenvalue ◽  
Unicyclic Graphs ◽  
Second Largest Eigenvalue

scholarly journals Minimum Supports of Eigenfunctions with the Second Largest Eigenvalue of the Star Graph

10.37236/9147 ◽  
2020 ◽  
Vol 27 (2) ◽  
Author(s):  
Vladislav Kabanov ◽  
Elena V. Konstantinova ◽  
Leonid Shalaginov ◽  
Alexandr Valyuzhenich
Keyword(s):  
Symmetric Group ◽  
Cayley Graph ◽  
Star Graph ◽  
Minimum Cardinality ◽  
Largest Eigenvalue ◽  
Second Largest Eigenvalue

The Star graph $S_n$, $n\ge 3$, is the Cayley graph on the symmetric group $Sym_n$ generated by the set of transpositions $\{(12),(13),\ldots,(1n)\}$. In this work we study eigenfunctions of $S_n$ corresponding to the second largest eigenvalue $n-2$. For $n\ge 8$ and $n=3$, we find the minimum cardinality of the support of an eigenfunction of $S_n$ corresponding to the second largest eigenvalue and obtain a characterization of eigenfunctions with the minimum cardinality of the support.

scholarly journals On the spectral characterization of some unicyclic graphs

2011 ◽  
Vol 311 (21) ◽  
pp. 2317-2336 ◽  
Author(s):  
Xiaogang Liu ◽  
Suijie Wang ◽  
Yuanping Zhang ◽  
Xuerong Yong
Keyword(s):  
Spectral Characterization ◽  
Unicyclic Graphs

scholarly journals Laplacian Spectral Characterization of Some Unicyclic Graphs

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Lijun Yu ◽  
Hui Wang ◽  
Jiang Zhou
Keyword(s):  
Unicyclic Graph ◽  
Spectral Characterization ◽  
Unicyclic Graphs ◽  
Laplacian Spectra

LetW(n;q,m1,m2)be the unicyclic graph withnvertices obtained by attaching two paths of lengthsm1andm2at two adjacent vertices of cycleCq. LetU(n;q,m1,m2,…,ms)be the unicyclic graph withnvertices obtained by attachingspaths of lengthsm1,m2,…,msat the same vertex of cycleCq. In this paper, we prove thatW(n;q,m1,m2)andU(n;q,m1,m2,…,ms)are determined by their Laplacian spectra whenqis even.

Optimized Synthesis and Spectral Characterization of Some Hydrazones Based on 5-Nitroindazole with Pharmacological Potential

2014 ◽  
Vol 59 (3) ◽  
pp. 313-318
Author(s):  
C. Cheptea ◽  
◽  
L.M. Ivan ◽  
D.O. Dorohoi ◽  
V. Sunel ◽  
...  
Keyword(s):  
Spectral Characterization ◽  
Pharmacological Potential

Synthesis and Spectral Characterization of Derivatives of Benzotriazole and Piperidine

2018 ◽  
Vol 8 (2) ◽  
pp. 278-287
Author(s):  
Selvarathy Grace P ◽  
Ravindran Durainayagam B ◽  
Pon Matheswari P.
Keyword(s):  
Spectral Characterization ◽  
Derivatives Of

Synthesis and Spectral Characterization of New S-Alkylated 1,2,4-Triazoles as Potential Biological Agents

2017 ◽  
Vol 68 (10) ◽  
pp. 2436-2439
Author(s):  
Stefania Felicia Barbuceanu ◽  
Laura Ileana Socea ◽  
Constantin Draghici ◽  
Elena Mihaela Pahontu ◽  
Theodora Venera Apostol ◽  
...  
Keyword(s):  
Mass Spectrometry ◽  
Spectral Data ◽  
1H Nmr ◽  
Elemental Analysis ◽  
13C Nmr ◽  
Ethyl Bromide ◽  
Spectral Characterization ◽  
Basic Medium ◽  
Phenacyl Bromide

In the work we presented the behavior of 5-(4-(4-X-phenylsulfonyl)phenyl)-4-(n-propyl)-2H-1,2,4-triazole-3(4H)-thiones (X= Cl or Br) with some alkylation agents. Thus, new S-alkylated 1,2,4-triazole derivatives were synthesized by reaction of the corresponding 1,2,4-triazole-3-thione derivatives with different �-halogenated compounds (ethyl bromide, ethyl chloroacetate or phenacyl bromide), in basic medium. The structures of synthesized compounds were elucidated by spectral data (1H-NMR, 13C-NMR, mass spectrometry) and elemental analysis.

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