Results 51 to 60 of about 885,664 (282)
Colouring quadrangulations of projective spaces [PDF]
Journal of Combinatorial Theory, Series B 113: 1-17, 2015, 2013 A graph embedded in a surface with all faces of size 4 is known as a quadrangulation. We extend the definition of quadrangulation to higher dimensions, and prove that any graph G which embeds as a quadrangulation in the real projective space P^n has chromatic number n+2 or higher, unless G is bipartite. For n=2 this was proved by Youngs [J.
arxiv +1 more source
Molecular Oncology, EarlyView.This study investigates an alternative approach to reactivating the oncosuppressor p53 in cancer. A short peptide targeting the association of the two p53 inhibitors, MDM2 and MDM4, induces an otherwise therapeutically active p53 with unique features that promote cell death and potentially reduce toxicity towards proliferating nontumor cells.
Sonia Valentini +10 more
wiley +1 more source
Topological Graph Polynomials in Colored Group Field Theory [PDF]
Annales Henri Poincare 11:565-584,2010, 2009 In this paper we analyze the open Feynman graphs of the Colored Group Field Theory introduced in [arXiv:0907.2582]. We define the boundary graph $\cG_{\partial}$ of an open graph $\cG$ and prove it is a cellular complex. Using this structure we generalize the topological (Bollobas-Riordan) Tutte polynomials associated to (ribbon) graphs to topological ...
arxiv +1 more source
Molecular Oncology, EarlyView.Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu +11 more
wiley +1 more source
Investigating the Diversity of Tuberculosis Spoligotypes with Dimensionality Reduction and Graph Theory [PDF]
, 2022 Gaëtan Senelle +3 more
openalex +1 more source
FEBS Open Bio, EarlyView.FAM136A depletion upregulated ROS production, reduced mitochondrial membrane potential (ΔΨ) and ATP production, and upregulated expression of PCK1, PCK2, HMGCS1, and HMGCS2. The expression of both TOMM22 and TOMM20 was also upregulated. FAM136A depletion reduced HCCS that produce holocytochrome c by combining heme to apocytochrome c, and reduced the ...
Yushi Otsuka, Masato Yano
wiley +1 more source
FEBS Open Bio, EarlyView.Osimertinib reduces angiogenesis and PDL1 expression in in ovo tumors, transforming them into ‘cold tumors’ with lower immune activity. Anatomopathological and transcriptomic analyses highlight its therapeutic impact on tumor biology. This study underscores osimertinib's potential to reshape the tumor microenvironment and provides insights into its ...
David Barthélémy +14 more
wiley +1 more source
Revealed Preference Dimension via Matrix Sign Rank [PDF]
arXiv, 2018 Given a data-set of consumer behaviour, the Revealed Preference Graph succinctly encodes inferred relative preferences between observed outcomes as a directed graph. Not all graphs can be constructed as revealed preference graphs when the market dimension is fixed. This paper solves the open problem of determining exactly which graphs are attainable as
arxiv
Cayley graphs that have a quantum ergodic eigenbasis [PDF]
arXiv, 2022 We investigate which finite Cayley graphs admit a quantum ergodic eigenbasis, proving that this holds for any Cayley graph on a group of size $n$ for which the sum of the dimensions of its irreducible representations is $o(n)$, yet there exist Cayley graphs that do not have any quantum ergodic eigenbasis.
arxiv
Extremal Graph Theory for Metric Dimension and Diameter [PDF]
, 2007 Carmen Hernando +4 more
+5 more sources