Zobrazeno 1 - 10
of 34
pro vyhledávání: '"F. K. Bell"'
Autor:
Slobodan K. Simić, F. K. Bell, Mustapha Aouchiche, Dragoš Cvetković, Dragan Stevanović, Pierre Hansen, Peter Rowlinson
Publikováno v:
European Journal of Operational Research. 191:661-676
We consider four conjectures related to the largest eigenvalue of (the adjacency matrix of) a graph (i.e., to the index of the graph). Three of them have been formulated after some experiments with the programming system AutoGraphiX, designed for fin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b4b114ce823cdeb161a769dbd05f0dc
https://doi.org/10.1016/j.ejor.2006.12.059
https://doi.org/10.1016/j.ejor.2006.12.059
Publikováno v:
Linear Algebra and its Applications. 429:2168-2179
We continue our investigation of graphs G for which the least eigenvalue ?(G) is minimal among the connected graphs of prescribed order and size. We provide structural details of the bipartite graphs that arise, and study the behaviour of ?(G) as the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34ed0548c811b69c356ef08efd166b98
https://doi.org/10.1016/j.laa.2008.06.018
https://doi.org/10.1016/j.laa.2008.06.018
Autor:
F. K. Bell, Peter Rowlinson
Publikováno v:
Bulletin of the London Mathematical Society. 35:401-408
Star complements and associated quadratic functions are used to obtain a sharp upper bound for the order of a graph with an eigenspace of prescribed codimension. It is shown that for regular graphs the bound can be reduced by 1, and that this reduced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0408e4882d23718c7f2104b0c1c70a9c
https://doi.org/10.1112/s0024609303002030
https://doi.org/10.1112/s0024609303002030
Autor:
Peter Rowlinson, F. K. Bell
Publikováno v:
Scopus-Elsevier
For a given positive integer t there are only finitely many graphs with an eigenvalue μ ∉{−1,0} such that the eigenspace of μ has codimension t. The graphs for which t ⩽5 are identified.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fa2fe0166a417d862c3448692645e97
https://doi.org/10.1016/s0012-365x(00)00031-5
https://doi.org/10.1016/s0012-365x(00)00031-5
Autor:
F. K. Bell
Publikováno v:
Linear Algebra and its Applications. 296:15-25
In this paper it is shown that, for any odd integer t >3, the line graph L ( K t ) is the unique maximal graph having the cycle C t as a star complement for the eigenvalue −2. This result yields a characterization of L ( G ) for Hamiltonian graphs
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a1b74a9428fd8934c49a1300b14d115
https://doi.org/10.1016/s0024-3795(99)00088-9
https://doi.org/10.1016/s0024-3795(99)00088-9
Autor:
F. K. Bell, Slobodan K. Simić
Publikováno v:
Linear and Multilinear Algebra. 39:137-152
The index of a graph G is the largest eigenvalue of a (0,1)-adjacency matrix of G. Let denote the set of all graphs which can be obtained from an n-cycle by joining and additional ('central') vertex to k of the vertices of the cycle (Such graphs are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68174082fe39ca38d42bcd6b9dc2e0ea
https://doi.org/10.1080/03081089508818385
https://doi.org/10.1080/03081089508818385
Autor:
J C, KRANTZ, F K, BELL
Publikováno v:
Federation proceedings. 6(1)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmid________::f8d79910b51512ca5a9b0c9199f762ed
https://pubmed.ncbi.nlm.nih.gov/20343723
https://pubmed.ncbi.nlm.nih.gov/20343723
Publikováno v:
The Journal of pharmacology and experimental therapeutics. 91(2)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmid_dedup__::247cefe2e1fd232fdd95213afd2f4845
https://pubmed.ncbi.nlm.nih.gov/20270119
https://pubmed.ncbi.nlm.nih.gov/20270119
Publikováno v:
The Journal of pharmacology and experimental therapeutics. 89(2)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmid________::e16f4f99e665eccd68d394ceb3530047
https://pubmed.ncbi.nlm.nih.gov/20285834
https://pubmed.ncbi.nlm.nih.gov/20285834
Autor:
H K, IWAMOTO, F K, BELL
Publikováno v:
The Journal of pharmacology and experimental therapeutics. 91(2)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmid________::b5de4ef5c92aea09a0b7e1d26d3e045e
https://pubmed.ncbi.nlm.nih.gov/20270112
https://pubmed.ncbi.nlm.nih.gov/20270112