Small clique number graphs with three trivial critical ideals

The critical ideals of a graph are the determinantal ideals of the generalized Laplacian matrix associated to a graph. In this article we provide a set of minimal forbidden graphs for the set of graphs with at most three trivial critical ideals. Then we use these forbidden graphs to characterize the graphs with at most three trivial critical ideals and clique number equal to 2 and 3.Comment: 33 pages, 3 figure

Energy Efficiency of Hybrid-Power HetNets: A Population-like Games Approach

In this paper, a distributed control scheme based on population games is proposed. The controller is in charge of dealing with the energy consumption problem in a Heterogeneous Cellular Network (HetNet) powered by hybrid energy sources (grid and renewable energy) while guaranteeing appropriate quality of service (QoS) level at the same time. Unlike the conventional approach in population games, it considers both atomicity and non-anonymity. Simulation results show that the proposed population-games approach reduces grid consumption by up to about 12% compared to the traditional best-signal level association policy.U.S. Air Force Office of Scientific Research FA9550-17-1-0259Ministerio de Cultura y Deporte DPI2016-76493-C3-3-RMinisterio de Economía y Empresa DPI2017-86918-

Multi-project and Multi-profile joint Non-negative Matrix Factorization for cancer omic datasets

Abstract Motivation The integration of multi-omic data using machine learning methods has been focused on solving relevant tasks such as predicting sensitivity to a drug or subtyping patients. Recent integration methods, such as joint Non-negative Matrix Factorization, have allowed researchers to exploit the information in the data to unravel the biological processes of multi-omic datasets. Results We present a novel method called Multi-project and Multi-profile joint Non-negative Matrix Factorization capable of integrating data from different sources, such as experimental and observational multi-omic data. The method can generate co-clusters between observations, predict profiles and relate latent variables. We applied the method to integrate low-grade glioma omic profiles from The Cancer Genome Atlas (TCGA) and Cancer Cell Line Encyclopedia projects. The method allowed us to find gene clusters mainly enriched in cancer-associated terms. We identified groups of patients and cell lines similar to each other by comparing biological processes. We predicted the drug profile for patients, and we identified genetic signatures for resistant and sensitive tumors to a specific drug.This work has been supported by the Ministry of Science, Technology and Innovation of Colombia grant No. 785. The European Research Council (ERC) Consolidator Grant 770827 and the Spanish State Research Agency AEI 10.13039/501100011033 grant number PID2019-105500GB-I00.Peer ReviewedPostprint (author's final draft

The genus Holothele Karsch, 1879: the identity of the type species (Mygalomorphae, theraphosidae)

The genus Holothele Karsch, 1879 has a confusing taxonomic history, mainly due to a imprecise and outdated generic diagnosis, perpetuated since its original description. In this work, we propose a new diagnosis for the genus, redescribe the type species Holothele recta Karsch, 1879 and propose a few taxonomic changes. Holothele longipes is here considered as a senior synonym of Holothele recta Karsch, 1879, Stichoplastus sanguiniceps F. O. P.-Cambridge, 1898, Dryptopelmides rondoni Lucas & Bücherl, 1972, Dryptopelmides ludwigi Strand, 1907. We also provide updated geographic distribution records for Holothele longipes and propose the revalidation of Scopelobates Simon, 190