Additional file 3 – Modularity: Optimized partitioning and weighted calculation

ثبت نشده
چکیده

We already demonstrated that the modularity Q observed for the given metabolite classes is significantly higher than for a random association network (which we obtained by edge reshuffling, see main manuscript). In addition, we were interested in how closely the given metabolite classes represent an optimal partitioning of nodes in the network. Therefore we took a heuristic optimization approach and compared the results with the given six metabolite classes.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A DFT calculation-inspired Rh(i)-catalyzed reaction via suppression of α-H shift in α-alkyldiazoacetates† †Electronic supplementary information (ESI) available: DFT calculation details, optimized structures, experimental data and biological activity tests. CCDC 984118. For ESI and crystallographic data in CIF or other electronic format see DOI: 10.1039/c7sc00257b Click here for additional data file. Click here for additional data file.

Shanghai Engineering Research Center of Development, East China Normal Univers [email protected]; [email protected] School of Chemistry and Chemical Eng 530004, China NYU-ECNU Center for Computational C 200062, China † Electronic supplementary information ( optimized structures, experimental data 984118. For ESI and crystallographic data DOI: 10.1039/c7sc00257b ‡ These authors contributed equ...

متن کامل

A Scalable Multilevel Algorithm for Graph Clustering and Community Structure Detection

One of the most useful measures of cluster quality is the modularity of the partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random (unstructured) graph. In this paper we show that the problem of finding a partition maximizing the modularity of a given graph G can be reduced to a minimum we...

متن کامل

Intra-molecular origin of the spin-phonon coupling in slow-relaxing molecular magnets† †Electronic supplementary information (ESI) available: Methods and theory details, unit-cell optimized geometry, computed vibrational frequencies and anisotropy tensor scan along normal modes. See DOI: 10.1039/c7sc02832f Click here for additional data file. Click here for additional data file. Click here for additional data file. Click here for additional data file.

where Eel is the adiabatic electronic energy and ∆Xis = Xis−X◦ is are the 3N cartesian displacements with respect to the equilibrium X◦ is configuration, where i spans the atom indexes and s=x,y,z. This system can still be mapped on a set of 3N decoupled 1D harmonic oscillators by introducing the normal mode of vibration. We first start defining mass-weighted cartesian coordinates ua = √ mi∆Xis...

متن کامل

Using graph partitioning for efficient network modularity optimization

The paper reviews an approach for finding the communities of a network developed by the authors [WAW’06, Lecture Notes in Computer Science, Volume 4936/2008, 117-128, IEEE TPDS vol. PP, issue 99, 2012], which is based on a reduction of the modularity optimization problem to the minimum weighted cut problem, and gives an experimental evaluation of an implementation based on that approach on grap...

متن کامل

Theoretical studies on the photophysical properties of luminescent pincer gold(iii) arylacetylide complexes: the role of π-conjugation at the C-deprotonated [C^N^C] ligand† †Electronic supplementary information (ESI) available: Experimental details of synthesis, characterization, and photophysical properties of complex 3-endo, additional computational details, and the Cartesian coordinates of the optimized structures. CCDC 1034529. For ESI and crystallographic data in CIF or other electronic format see DOI: 10.1039/c4sc03697b

1. Experimental Details. a. Synthesis b. Characterizations c. X-ray data, and d. Spectroscopic properties 2. Computational Details a. State specific calculation procedures b. Radiative decay rate calculations c. Non-radiative decay rate calculations d. Further references 3. Further calculation results a. TDDFT results at the optimized S0 geometries b. Radiative decay rate calculations c. Non-ra...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011