Results 61 to 70 of about 193 (188)

Minors in random regular graphs [PDF]

Random Structures & Algorithms, 2009
AbstractWe show that there is a constant c so that for fixed r ≥ 3 a.a.s. an r‐regular graph on n vertices contains a complete graph on $ c\sqrt{n} $ vertices as a minor. This confirms a conjecture of Markström (Ars Combinatoria 70 (2004) 289–295). Since any minor of an r‐regular graph on n vertices has at most rn/2 edges, our bound is clearly best ...
Nikolaos Fountoulakis, Daniela Kühn, Deryk Osthus   +2 more
openaire   +2 more sources

MITF maintains genome stability in nonmelanocyte lineages

Molecular Oncology, EarlyView.
MITF is essential for melanocyte survival and acts as an oncogene in 10%–20% of melanomas. We show that MITF depletion causes genome instability in nonmelanocytic cells, leading to LATS2‐mediated P53 activation, cell cycle arrest, and apoptosis. This study highlights the role of MITF as a genome maintenance factor beyond the melanocyte lineage. Created
Drifa H. Gudmundsdottir, Adrián López García de Lomana, Thejus B. Venkatesh, Kritika Kirty, Snaevar Sigurdsson, Linda Vidarsdottir, Ramile Dilshat, Erla Sveinbjornsdottir, Snaedis Ragnarsdottir, Daniel H Magnusson, Maria R. Bustos, Eirikur Steingrimsson, Thorkell Gudjonsson, Stefan Sigurdsson   +13 more
wiley   +1 more source

Graph minors. V. Excluding a planar graph

Journal of Combinatorial Theory, Series B, 1986
[For part I see the authors' paper ibid. 35, 39-61 (1983; Zbl 0521.05062), for part III see their paper ibid. 36, 49-64 (1984; Zbl 0548.05025), for part VI see ibid., 115-138 (1986; Zbl 0598.05042). See also their survey paper in Surveys in Combinatorics 1985, Pap. 10th Br. Combin. Conf., Glasgow/Scotl. 1985, Lond. Math. Soc. Lect. Note Ser.
Neil Robertson 0001, Paul D. Seymour
openaire   +1 more source

Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization

Molecular Oncology, EarlyView.
In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu, Nicolas J. Niklaus, Anna M. Schläfli, Igor Tokarchuk, Magali Humbert, Federico La Manna, Bich Vu, David Maul, Ramin Radpour, Marianna Kruithof‐de Julio, Inti Zlobec, Jörn Dengjel, Bruce E. Torbett, Mario P. Tschan   +13 more
wiley   +1 more source

Fat minors cannot be thinned (by quasi-isometries)

Analysis and Geometry in Metric Spaces
We disprove the conjecture of Georgakopoulos and Papasoglu that a graph with no K-fat H minor is quasi-isometric to a graph with no H minor. On the other hand, we show that the following weakening holds: any graph with no K-fat H minor is quasi-isometric
Davies James, Hickingbotham Robert, Illingworth Freddie, McCarty Rose   +3 more
doaj   +1 more source

Epigenetic heterogeneity and plasticity in therapy‐induced tumor states through single‐cell multi‐omics

Molecular Oncology, EarlyView.
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim, Hwiyeong Lee, Jin Hong, Daechan Park   +3 more
wiley   +1 more source

Kinematic flow from the flow of cuts

Journal of High Energy Physics
The wavefunction coefficients of conformally coupled scalars in power-law FRW cosmologies satisfy differential equations governed by a set of simple combinatorial rules known as the kinematic flow.
Ross Glew, Andrzej Pokraka
doaj   +1 more source

Analysis and classification of fixed points of operators on a simplex

Қарағанды университетінің хабаршысы. Математика сериясы
This paper investigates the dynamical behavior of Lotka–Volterra type operators defined on the four and five dimensional simplexes, focusing on their fixed points and structural representation through directed graphs (tournaments).
D.B. Eshmamatova, M.A. Tadzhieva
doaj   +1 more source

A Characterization of Graphs with No Cube Minor

Journal of Combinatorial Theory, Series B, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

PAK1 activation drives divergent resistance mechanisms to aromatase inhibition and tamoxifen in a luminal: A breast cancer model

Molecular Oncology, EarlyView.
Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller, Janina Müller, Efstathios‐Iason Vlachavas, Lukas Beumers, Lena Fleischhacker, Sara Burmester, Angelika Wörner, Sabine Karolus, Dominic Helm, Cindy Körner, Stefan Wiemann   +10 more
wiley   +1 more source