Evolutionary games on graphs

G Szabó, G Fath - Physics reports, 2007 - Elsevier
Game theory is one of the key paradigms behind many scientific disciplines from biology to
behavioral sciences to economics. In its evolutionary form and especially when the …

[BOOK][B] Random graphs

S Janson, T Luczak, A Rucinski - 2011 - books.google.com
A unified, modern treatment of the theory of random graphs-including recent results and
techniques Since its inception in the 1960s, the theory of random graphs has evolved into a …

The size of the giant component of a random graph with a given degree sequence

M Molloy, B Reed - Combinatorics, probability and computing, 1998 - cambridge.org
Given a sequence of nonnegative real numbers λ0, λ1,… that sum to 1, we consider a
random graph having approximately λin vertices of degree i. In [12] the authors essentially …

[PDF][PDF] Models of random regular graphs

NC Wormald - London mathematical society lecture note series, 1999 - williams.edu
This is a survey of results on properties of random regular graphs, together with an
exposition of some of the main methods of obtaining these results. Related results on …

Differential equations for random processes and random graphs

NC Wormald - The annals of applied probability, 1995 - JSTOR
General criteria are given to ensure that in a family of discrete random processes, given
parameters exhibit convergence to the solution of a system of differential equations. As one …

Hybrid quantum-classical algorithms for approximate graph coloring

S Bravyi, A Kliesch, R Koenig, E Tang - Quantum, 2022 - quantum-journal.org
We show how to apply the recursive quantum approximate optimization algorithm (RQAOA)
to MAX-$ k $-CUT, the problem of finding an approximate $ k $-vertex coloring of a graph …

Fixed-angle conjectures for the quantum approximate optimization algorithm on regular MaxCut graphs

J Wurtz, D Lykov - Physical Review A, 2021 - APS
The quantum approximate optimization algorithm (QAOA) is a near-term combinatorial
optimization algorithm suitable for noisy quantum devices. However, little is known about …

[PDF][PDF] The differential equation method for random graph processes and greedy algorithms

NC Wormald - Lectures on approximation and randomized algorithms, 1999 - Citeseer
Random graph processes and related discrete random processes are being used
increasingly in the analysis of randomised algorithms and the study of random graphs …

[BOOK][B] Graphical Evolution: an introduction to the theory of random graphs

EM Palmer - 1985 - dl.acm.org
Graphical evolution: an introduction to the theory of random graphs | Guide books ACM Digital
Library home ACM home Google, Inc. (search) Advanced Search Browse About Sign in …

Ising model on networks with an arbitrary distribution of connections

SN Dorogovtsev, AV Goltsev, JFF Mendes - Physical Review E, 2002 - APS
We find the exact critical temperature T c of the nearest-neighbor ferromagnetic Ising model
on an “equilibrium” random graph with an arbitrary degree distribution P (k). We observe an …