Zobrazeno 1 - 10
of 45
pro vyhledávání: '"laplacian spectrum (of graph)"'
Autor:
Ivan Gutman
Publikováno v:
Vojnotehnički Glasnik, Vol 68, Iss 2, Pp 207-215 (2020)
Introduction/purpose: The Laplacian energy (LE) is the sum of absolute values of the terms μi-2m/n, where μi, i=1,2,…,n, are the eigenvalues of the Laplacian matrix of the graph G with n vertices and m edges. In 2006, another quantity Z was in
Externí odkaz:
https://doaj.org/article/c26c00bbc0e842879cc0a132a6649fec
Autor:
Ivan Gutman
Publikováno v:
Vojnotehnički Glasnik, Vol 68, Iss 1, Pp 1-7 (2020)
Introduction/purpose: The Laplacian energy (LE) is the sum of absolute values of the terms μi-2m/n, where μi , i=1,2,…,n, are the eigenvalues of the Laplacian matrix of the graph G with n vertices and m edges. The basic results of the theory o
Externí odkaz:
https://doaj.org/article/8ee9fc1ff5594346bc34348b4ba2d107
Publikováno v:
The Rocky Mountain Journal of Mathematics, 2017 Jan 01. 47(1), 259-266.
Externí odkaz:
https://www.jstor.org/stable/26414277
Publikováno v:
Filomat, 2015 Jan 01. 29(8), 1869-1877.
Externí odkaz:
https://www.jstor.org/stable/24898349
Publikováno v:
Transactions on Combinatorics, Vol 2, Iss 3, Pp 43-52 (2013)
Bounds for the degree Kirchhoff index of the line and para-line graphs are determined.The special case of regular graphs is analyzed in due detail.
Externí odkaz:
https://doaj.org/article/96a97d4242ba43a5ba92871a3c2036c8
Publikováno v:
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics (2015) 7(1):25-31
Let G be an undirected connected graph with n, n ≥ 3, vertices and m edges. If μ1 ≥ μ2 … ≥ μn-1 > μn = 0 and ρ1 ≥ ρ2 ≥ …≥ ρn-1 > ρn = 0 are the Laplacian and the normalized Laplacian eigenvalues of G, then the Kirchhoff and th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d20f16aa6b630275280837c2f7c720e
https://doi.org/10.5937/spsunp1501025m
https://doi.org/10.5937/spsunp1501025m
Publikováno v:
Volume: 7, Issue: 1 192-198
Konuralp Journal of Mathematics
Konuralp Journal of Mathematics
Characterizing classes of graphs which are determined by their spectra is often a hard and challenging problem. So, finding and introducing any class of these graphs can be an interesting and important problem. This paper aims to characterize new cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=tubitakulakb::ac6c1c30c084570b1a21672fb2cc557b
https://dergipark.org.tr/tr/pub/konuralpjournalmath/issue/31492/412927
https://dergipark.org.tr/tr/pub/konuralpjournalmath/issue/31492/412927
Autor:
M.P. Bekakos, E.I. Milovanović
Publikováno v:
Rocky Mountain J. Math. 47, no. 1 (2017), 259-266
Let $G$ be an undirected simple, connected graph with $n \geq 3$ vertices and $m$ edges, with vertex degree sequence $d_1\ge d_2 \ge \cdots \ge d_n$. The general Randi\'c index is defined by \[ R_{-1}=\sum _{(i,j)\in E}\frac {1}{d_id_j}. \] Lower and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fed21613f98012336b3fb77d65314d0
http://projecteuclid.org/euclid.rmjm/1488531899
http://projecteuclid.org/euclid.rmjm/1488531899
Publikováno v:
Linear Algebra and its Applications. 442:58-68
WOS: 000329143500005
Let G be a connected graph of order n with Laplacian eigenvalues mu(1) >= mu(2) >= ... mu(n-1) >mu(n) = 0. The Laplacian-energy-like invariant of the graph G is defined as LEL = LEL(G) = Sigma(n-1)(i=1)root mu(i) . Lower and
Let G be a connected graph of order n with Laplacian eigenvalues mu(1) >= mu(2) >= ... mu(n-1) >mu(n) = 0. The Laplacian-energy-like invariant of the graph G is defined as LEL = LEL(G) = Sigma(n-1)(i=1)root mu(i) . Lower and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fe72095947414a185ce976d834923d0
https://doi.org/10.1016/j.laa.2013.05.002
https://doi.org/10.1016/j.laa.2013.05.002
Publikováno v:
Linear Algebra and its Applications. 436(9):3661-3671
Let G be a connected graph of order n with Laplacian eigenvalues μ 1 ⩾ μ 2 ⩾ ⋯ ⩾ μ n - 1 > μ n = 0 . The Kirchhoff index and the Laplacian-energy-like invariant of G are defined as Kf = n ∑ k = 1 n - 1 1 / μ k and LEL = ∑ k = 1 n - 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b1285450c4d61a63da9261a4a9cd23d