Results 71 to 80 of about 3,522,534 (301)
A Reduction of the Graph Reconstruction Conjecture
Discussiones Mathematicae Graph Theory, 2014 A graph is said to be reconstructible if it is determined up to isomor- phism from the collection of all its one-vertex deleted unlabeled subgraphs. Reconstruction Conjecture (RC) asserts that all graphs on at least three vertices are reconstructible. In
Monikandan S., Balakumar J.
doaj +1 more source
Discrete Mathematics, 1979 AbstractA base of the cycle space of a binary matroid M on E is said to be convex if its elements can be totally ordered in such a way that for every e ε E the set of elements of the base containing e is an interval. We show that a binary matroid is cographic iff it has a convex base of cycles; equivalently, graphic matroids can be represented as ...
openaire +2 more sources
Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma
Molecular Oncology, EarlyView.Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski +10 more
wiley +1 more source
The order difference interval graph of a group [PDF]
Transactions on Combinatorics, 2012 In this paper we introduce the concept of order difference interval graph ¡ODI (G) of a group G. It is a graph ¡ODI (G) with V (¡ODI (G)) = G and two vertices a and b are adjacent in ¡ODI (G) if and only if o(b) − o(a) ∈ [o(a), o(b)].
P. Balakrishnan, R. Kala
doaj
On interval number in cycle convexity [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 Recently, Araujo et al. [Manuscript in preparation, 2017] introduced the notion of Cycle Convexity of graphs. In their seminal work, they studied the graph convexity parameter called hull number for this new graph convexity they proposed, and they ...
Julio Araujo +3 more
doaj +1 more source
Molecular Oncology, EarlyView.The proposed mechanism of action for the CDK12/13 inhibitor and cyclin K degrader, CT7439. CDK12/13 inhibition interrupts transcription elongation, leading to increased DNA damage that results in cell death. This agent is a potentially novel treatment option for patients with colorectal cancer. Created in BioRender. Cyclin‐dependent kinase (CDK) 12 and
Wylie K. Watlington +10 more
wiley +1 more source
The niche graphs of interval orders
Discussiones Mathematicae Graph Theory, 2014 The niche graph of a digraph D is the (simple undirected) graph which has the same vertex set as D and has an edge between two distinct vertices x and y if and only if N+D(x) ∩ N+D(y) ≠ ∅ or N−D(x) ∩ N−D(y) ≠ ∅, where N+D(x) (resp.
Park Jeongmi, Sano Yoshio
doaj +1 more source
Molecular Oncology, EarlyView.BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi +11 more
wiley +1 more source
Interval k-Graphs and Orders [PDF]
Order, 2017 An interval $k$-graph is the intersection graph of a family $\mathcal{I}$ of intervals of the real line partitioned into at most $k$ classes with vertices adjacent if and only if their corresponding intervals intersect and belong to different classes.
David E. Brown +2 more
openaire +2 more sources
Molecular Oncology, EarlyView.LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang +9 more
wiley +1 more source