Results 101 to 110 of about 2,911,408 (294)
The strongly regular (45,12,3,3) graphs [PDF]
, 2006 Using two backtrack algorithms based on dierent techniques, designed and implemented independently, we were able to determine up to isomorphism all strongly regular graphs with parameters v = 45, k = 12, λ = μ = 3.
Degraer, J. +5 more
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Strongly Regular Fusions of Tensor Products of Strongly Regular Graphs
Rocky Mountain Journal of Mathematics, 1994 Let \(G\) and \(H\) be strongly regular graphs with (0, 1)-adjacency matrices \(A_ 0= I\), \(A_ 1\), \(A_ 2= J-I- A_ 1\) and \(B_ 0= I\), \(B_ 1,\) \(B_ 2= J- I- B_ 1\) respectively. The tensor product \(G\otimes H\) is defined to be the nine class association scheme with adjacency matrices \(A_ i\otimes B_ j\). By combining (fusing) some of these nine
openaire +2 more sources
Regular graphs with four eigenvalues [PDF]
We study the connected regular graphs with four distinct eigenvalues. Properties and feasibility conditions of the eigenvalues are found. Several examples, constructions and characterizations are given, as well as some uniqueness and nonexistence results.
Dam, E.R. van
core
Molecular Oncology, EarlyView.The kinase SRPK1 directly interacts with the protein TOPBP1 and regulates the pre‐mRNA splicing of WIZ thereby contributing to the activation of the ATR/CHK1 replicative checkpoint in response to replicative stress. This allows cancer cells' genomic stability and survival.
Amani Shreim +17 more
wiley +1 more source
Distance regular graphs of diameter 3 and strongly regular graphs
Discrete Mathematics, 1984 In a paper by \textit{N. L. Biggs} [Ann. Discrete Math. 15, 69-80 (1982; Zbl 0506.05057)], two parameter sets for distance regular graphs that are antipodal covers of a complete graph were mentioned for which the existence of a corresponding graph was unknown.
openaire +4 more sources
Targeting the EpCAM‐AXL axis to overcome drug resistance in lung cancer
Molecular Oncology, EarlyView.Lung cancer cells often evade therapy by hijacking signaling pathways. We reveal that cleaved EpCAM (sEpCAM) stabilizes the oncogenic protein AXL, driving NF‐κB and STAT3‐mediated chemoresistance. This EpCAM‐AXL axis identifies a high‐risk patient subset with poor prognosis.
Alexa Guerrero‐Alba +5 more
wiley +1 more source
Universal Adjacency Matrices with Two Eigenvalues [PDF]
AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Omidi, G.R., Haemers, W.H.
core
Molecular Oncology, EarlyView.LVRF (lymphatic and vascular resistance factor) is a VEGFA splice variant upregulated in response to anti‐angiogenic therapy that fosters tumor adaptation through enhanced vascularization, lymphangiogenesis, and metastatic dissemination. Targeting LVRF with fully human neutralizing antibodies disrupts these processes and limits resistant tumor growth ...
Marion David +12 more
wiley +1 more source
Distance-Regular Graphs with Strongly Regular Subconstituents [PDF]
Journal of Algebraic Combinatorics, 1997 The main result of the article is a theorem about distance-regular graphs of diameter \(d\geq 3\) with all subconstituents being strongly regular graphs. The author shows that these are precisely the Taylor graphs \((d=3\) and \(|\Gamma_3 (u) |=1)\) or graphs with \(a_1= 0\), \(a_i\leq 1\) for \(2\leq i\leq d\).
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Graphs with Few Eigenvalues. An Interplay between Combinatorics and Algebra. [PDF]
: Two standard matrix representations of a graph are the adjacency matrix and the Laplace matrix. The eigenvalues of these matrices are interesting parameters of the graph.
Dam, E.R. van
core