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Books on the topic 'Two-graph'

Author: Grafiati

Published: 3 June 2025

Last updated: 22 June 2025

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1

Coolen, A. C. C., A. Annibale, and E. S. Roberts. Random graph ensembles. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198709893.003.0003.

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This chapter presents some theoretical tools for defining random graph ensembles systematically via soft or hard topological constraints including working through some properties of the Erdös-Rényi random graph ensemble, which is the simplest non-trivial random graph ensemble where links appear between two nodes with a fixed probability p. The chapter sets out the central representation of graph generation as the result of a discrete-time Markovian stochastic process. This unites the two flavours of graph generation approaches – because they can be viewed as simply moving forwards or backwards through this representation. It is possible to define a random graph by an algorithm, and then calculate the associated stationary probability. The alternative approach is to specify sampling weights and then to construct an algorithm that will have these weights as the stationary probabilities upon convergence.

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2

Williams, Spensha. Hexagonal Graph Paper - Utah Get Me Two 1980s Movie Quote. Independently Published, 2021.

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3

Park, Soonchul. A continuous quadratic programming approach to two-set graph partitioning. 1999.

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4

Williams, Spensha. Hexagonal Graph Paper - Utah Get Me Two 1980s Movie Quote. Independently Published, 2021.

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5

Hexagonal Graph Paper Two Seater Funny Adult Humor Popular Quote. Independently Published, 2021.

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6

Hexagonal Graph Paper - Utah Get Me Two 1980s Movie Quote. Independently Published, 2021.

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7

Hexagonal Graph Paper - Muffs Diving School Funny Offensive Scuba Quote Two Sided. Independently Published, 2021.

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8

Seed Bead Graph Paper: Beading Graph Paperwith Vintage Cover and with Two Patterns to Create Your Own Beadwork Designs. Independently Published, 2021.

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9

Hexagonal Graph Paper Womens Eating Easter Eggs for Two Funny Family Pregnancy Quote. Independently Published, 2021.

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10

Hexagonal Graph Paper Womens Eating Easter Eggs for Two Funny Family Pregnancy Quote. Independently Published, 2021.

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11

carr, carra. Hexagonal Graph Paper Womens Eating Easter Eggs for Two Funny Family Pregnancy Quote. Independently Published, 2021.

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12

Hexagonal Graph Paper - Womens Eating Easter Eggs for Two Funny Family Pregnancy Quote. Independently Published, 2021.

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13

Coolen, A. C. C., A. Annibale, and E. S. Roberts. Soft constraints: exponential random graph models. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198709893.003.0004.

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Abstract:

Exponential random graph models (ERGMs) provide conceptually elegant recipes for generating soft-constrained random graphs. This chapter begins by explaining the theory and describing how to properly specify an ERGM, including demonstrating Lagrange’s method to derive the values of the model parameters that correspond to the desired constraints. Three ERGMs, all with constraints depending linearly on the adjacency matrix, are solved exactly: the targeted total number of links, targeted individual node degrees and targeted number of two-way links in a directed graph. However, when the controlled features become more complicated, ERGMs have a tendency to produce graphs in extreme phases (very dense or very sparse). The two-star model and the Strauss model are worked through in detail using advanced techniques from statistical mechanics in order to analyze the phase transitions. The chapter closes with a discussion of the strengths and weaknesses of ERGMs as null models.

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14

Dot, Red. Knitting Paper Ratios 2 : 3 & 4 : 5: Two Ratios Grid & Graph Notebook – Pattern 1. Independently published, 2018.

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15

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16

SHEPRO, Scott. Hexagonal Graph Paper-Dog 2nd Birthday Dog Lover Owner Puppy Two Year Old Boy Girl. Independently Published, 2021.

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17

Stationery, Bigfoot. Knitters Graph Paper 2 : 3 & 4 : 5: Knitting Design Paper - Two Sets of Ratio Included. Independently Published, 2019.

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18

Two Seater Funny Adult Humor Popular Hexagonal Graph Paper: 6 X 9 Inches Size and 114 Pages. Independently Published, 2021.

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19

To Witness Two Lovers Is a Spectacle for the Godss: Funny Bulldog - Graph Paper, Grid Paper Pad, Graph Paper Pad, Graphing Paper, Computation Pads, Drafting Paper, Blueprint Paper. Independently Published, 2020.

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20

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24

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26

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28

Stationery, Bigfoot. Knitting Graph Paper Ratios 2 : 3 & 4 : 5: Two Separate Sets of Paper for Knitters to Work With. Independently Published, 2019.

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29

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