Write expressions for the number m of edges in the network

Assignment Help Chemistry

Reference no: EM13838531

Let A be the adjacency matrix of an undirected network and 1 be the column vector whose elements are all 1. In terms of these quantities, write expressions for;

a) the vector k whose elements are the degrees ki of the vertices;

b) the number m of edges in the network;

c) the matrix N whose element Nij is equal to the number of common neighbors of vertices i and j;

d) the total number of triangles in the network, where a triangle means three vertices, each connected by edges to both of the others

Reference no: EM13838531

Questions Cloud

Explain-short-run keynesian perspective : Between early 2008 and the beginning of 2009, a gradual stock-market downturn and plummeting home prices generated a substantial reduction in U. S. household wealth that induced most U.S. residents to reduce their planned real spending at any given p..

Discussing the use of path integrals in economics : As an active participant on the Physics Stack Exchange I have, on several separate occasions, run into some vague remarks about the 'intimate relation' between the famous Black-Scholes model in economics and the Schrodinger equation that appears in q..

Calculate the charge density at position r : Calculate, using the correct quantum energies, the contribution to the Helmholtz free energy by calculating the appropriate sum and calculate, using the classical trace derived in class, the classical Helmholtz free energy of the oscillator.

Enforcing fusion center privacy policies : Perhaps the biggest concern with regards to intelligence fusion centers at the federal, state, and local levels is the concern over privacy. Since their inception, fusion center officials have taken a number of steps to embed privacy policies and ..

Write expressions for the number m of edges in the network : Let A be the adjacency matrix of an undirected network and 1 be the column vector whose elements are all 1. In terms of these quantities, write expressions for; a) the vector k whose elements are the degrees ki of the vertices; b) the number m of edg..

Construct a stem and leaf display : The following data represent the number of years patients survived after being diagnosed with terminal cancer: 0.4, 0.5, 0.6, 0.6, 0.6, 0.8, 0.8, 0.9, 0.9, 0.9, 1.2, 1.2, 1.3, 1.4, 2.1, 2.4, 2.5, 4.0, 4.5, 4.6 (i) Construct a stem-and-leaf display (i..

Write a report for lhd council based on the supplied data : Write a report for the LHD council based on the supplied data (UTS Hospital data file) and the following topic items that includes tables or graphs as appropriate (for example, to show comparisons). NB The word limit excludes tables and appendices..

Find the magnitude of and the value : Find the magnitude of and the value

What is the total pressure in the flask : A 15-L flask at 300K contains 6.44g of a mixture of NO2 and N2O4 in equilibrium. What is the total pressure in the flask? (Kp for 2 NO2(g) N2O4(g) is 7.1).

User Account

All Pages