Results 51 to 60 of about 542,793 (319)
Distance-regular Cayley graphs with small valency
, 2019 We consider the problem of which distance-regular graphs with small valency are Cayley graphs. We determine the distance-regular Cayley graphs with valency at most $4$, the Cayley graphs among the distance-regular graphs with known putative intersection ...
Jazaeri, Mojtaba, van Dam, Edwin R.
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Ural Mathematical JournalWe consider antipodal graphs \(\Gamma\) of diameter 4 for which \(\Gamma_{1,2}\) is a strongly regular graph. A.A. Makhnev and D.V. Paduchikh noticed that, in this case, \(\Delta=\Gamma_{3,4}\) is a strongly regular graph without triangles.
Alexander A. Makhnev +2 more
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Arithmetic completely regular codes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 In this paper, we explore completely regular codes in the Hamming graphs and related graphs. Experimental evidence suggests that many completely regular codes have the property that the eigenvalues of the code are in arithmetic progression.
Jacobus Koolen +3 more
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Locally Pseudo-Distance-Regular Graphs
Journal of Combinatorial Theory, Series B, 1996 The concept of local pseudo-distance-regularity, introduced in this paper, can be thought of as a natural generalization of distance-regularity for non-regular graphs. Intuitively speaking, such a concept is related to the regularity of graph \(\Gamma\) when it is seen from a given vertex.
Fiol, M.A., Garriga, E., Yebra, J.L.A.
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Molecular Oncology, EarlyView.Pharmacologic ascorbate (vitamin C) increases ROS, disrupts cellular metabolism, and induces DNA damage in CRPC cells. These effects sensitize tumors to PARP inhibition, producing synergistic growth suppression with olaparib in vitro and significantly delayed tumor progression in vivo. Pyruvate rescue confirms ROS‐dependent activity.
Nicolas Gordon +13 more
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IEEE Access, 2018 The resistance distance is widely used in random walk, electronic engineering, and complex networks. One of the main topics in the study of the resistance distance is the computation problem.
Qun Liu, Jia-Bao Liu, Shaohui Wang
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ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS
Ural Mathematical Journal, 2022 In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
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Distance-regular antipodai covering graphs
Journal of Combinatorial Theory, Series B, 1988 Let G be a regular graph with diameter d. G is said to be antipodal if given any distinct vertices u, v, w of G with v and w at distance d from u, then v is distance d from w. G is called distance-regular if for vertices u, v, in G of distance i apart, v is adjacent to \(c_ i\) vertices distance i-1 from u, \(a_ i\) vertices distance i from u, and \(b_
Aldred, R.E.L, Godsil, C.D
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Molecular Oncology, EarlyView.Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova +25 more
wiley +1 more source
No finite $5$-regular matchstick graph exists [PDF]
, 2014 A graph $G=(V,E)$ is called a unit-distance graph in the plane if there is an injective embedding of $V$ in the plane such that every pair of adjacent vertices are at unit distance apart.
Kurz, Sascha
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