Results 11 to 20 of about 63,374 (200)
This is a survey of distance-regular graphs. We present an introduction to distance-regular graphs for the reader who is unfamiliar with the subject, and then give an overview of some developments in the area of distance-regular graphs since the ...
Koolen, Jack H. +2 more
core +7 more sources
Classification of small class association schemes coming from certain combinatorial objects [PDF]
We explore two- or three-class association schemes. We study aspects of the structure of the relation graphs in association schemes which are not easily revealed by their parameters and spectra.
Kim, Joohyung
core +3 more sources
Uniformity in association schemes and coherent configurations: cometric Q-antipodal schemes and linked systems [PDF]
Inspired by some intriguing examples, we study uniform association schemes and uniform coherent configurations, including cometric Q-antipodal association schemes. After a review of imprimitivity, we show that an imprimitive association scheme is uniform
Abdukhalikov +61 more
core +2 more sources
Strongly Regular Graphs Constructed from $p$-ary Bent Functions [PDF]
In this paper, we generalize the construction of strongly regular graphs in [Y. Tan et al., Strongly regular graphs associated with ternary bent functions, J. Combin.Theory Ser.
Chee Yin, De Zhang, Tan Xian, Yeow Meng
core +1 more source
Strongly regular graphs from weakly regular plateaued functions
The paper provides the first constructions of strongly regular graphs and association schemes from weakly regular plateaued functions over finite fields of odd characteristic.
Mesnager, Sihem, Sınak, Ahmet
core +1 more source
Intriguing sets of vertices of regular graphs [PDF]
Intriguing and tight sets of vertices of point-line geometries have recently been studied in the literature. In this paper, we indicate a more general framework for dealing with these notions. Indeed, we show that some of the results obtained earlier can
De Bruyn, Bart, Suzuki, Hiroshi
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Strongly walk-regular graphs [PDF]
We study a generalization of strongly regular graphs. We call a graph strongly walk-regular if there is an $\ell >1$ such that the number of walks of length $\ell$ from a vertex to another vertex depends only on whether the two vertices are the same ...
Abreu +15 more
core +2 more sources
This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan +9 more
wiley +1 more source
YAP1::TFE3 mediates endothelial‐to‐mesenchymal plasticity in epithelioid hemangioendothelioma
The YAP1::TFE3 fusion protein drives endothelial‐to‐mesenchymal transition (EndMT) plasticity, resulting in the loss of endothelial characteristics and gain of mesenchymal‐like properties, including resistance to anoikis, increased migratory capacity, and loss of contact growth inhibition in endothelial cells.
Ant Murphy +9 more
wiley +1 more source
Uniform Mixing and Association Schemes [PDF]
We consider continuous-time quantum walks on distance-regular graphs of small diameter. Using results about the existence of complex Hadamard matrices in association schemes, we determine which of these graphs have quantum walks that admit uniform mixing.
Godsil, Chris +2 more
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