Results 91 to 100 of about 1,245,381 (307)
Q-system Cluster Algebras, Paths and Total Positivity
Symmetry, Integrability and Geometry: Methods and Applications, 2010 In the first part of this paper, we provide a concise review of our method of solution of the A_r Q-systems in terms of the partition function of paths on a weighted graph. In the second part, we show that it is possible to modify the graphs and transfer
Philippe Di Francesco, Rinat Kedem
doaj +1 more source
Matroidal Structure of Rough Sets from the Viewpoint of Graph Theory
Journal of Applied Mathematics, 2012 Constructing structures with other mathematical theories is an important research field of rough sets. As one mathematical theory on sets, matroids possess a sophisticated structure.
Jianguo Tang, Kun She, William Zhu
doaj +1 more source
Rank of divisors on graphs: an algebro-geometric analysis [PDF]
, 2012 The divisor theory for graphs is compared to the theory of linear series on curves through the correspondence associating a curve to its dual graph.
Caporaso, Lucia
core
The Rank-Width of Edge-Colored Graphs [PDF]
Theory of Computing Systems 52(4):599-644(2013), 2007 Clique-width is a complexity measure of directed as well as undirected graphs. Rank-width is an equivalent complexity measure for undirected graphs and has good algorithmic and structural properties. It is in particular related to the vertex-minor relation. We discuss an extension of the notion of rank-width to edge-colored graphs. A C-colored graph is
arxiv +1 more source
Molecular and functional profiling unravels targetable vulnerabilities in colorectal cancer
Molecular Oncology, EarlyView.We used whole exome and RNA‐sequencing to profile divergent genomic and transcriptomic landscapes of microsatellite stable (MSS) and microsatellite instable (MSI) colorectal cancer. Alterations were classified using a computational score for integrative cancer variant annotation and prioritization.
Efstathios‐Iason Vlachavas +15 more
wiley +1 more source
Tits alternatives for graph products
, 2015 We discuss various types of Tits Alternative for subgroups of graph products of groups, and prove that, under some natural conditions, a graph product of groups satisfies a given form of Tits Alternative if and only if each vertex group satisfies this ...
Antolin, Yago, Minasyan, Ashot
core +1 more source
A classification of one dimensional affine rank three graphs [PDF]
arXiv, 2020 The rank three subgroups of a one-dimensional affine group over a finite field were classified in 1978 by Foulser and Kallaher. Although one can use their results for a classification of corresponding rank three graphs, the author did not find such a classification in a literature. The goal of this note is to present such a classification.
arxiv
Molecular Oncology, EarlyView.The study evaluated the function and therapeutic implications of PRAME in basal cell carcinoma (BCC) and squamous cell carcinoma (SCC). The findings demonstrate that PRAME impairs keratinocyte differentiation pathways. Furthermore, PRAME impairs anticancer response to retinoid compounds in BCC and SCC cells.
Brandon Ramchatesingh +6 more
wiley +1 more source
Fundamental groupoids of k-graphs [PDF]
, 2003 k-graphs are higher-rank analogues of directed graphs which were first developed to provide combinatorial models for operator algebras of Cuntz-Krieger type.
Pask, David, Quigg, John, Raeburn, Iain
core +4 more sources
Fast Searching Strategy for Critical Cascading Paths Toward Blackouts
IEEE Access, 2018 The analysis of severe cascading blackouts is an essential issue in power grid planning and operation. As there are a tremendous number of possible cascade paths in a large power system, it is very challenging to determine the critical cascading paths ...
Zhiyuan Ma +4 more
doaj +1 more source