LAL: Linear Arrangement Library 21.07.01
A library focused on algorithms on linear arrangements of graphs.
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degrees.hpp
1/*********************************************************************
2 *
3 * Linear Arrangement Library - A library that implements a collection
4 * algorithms for linear arrangments of graphs.
5 *
6 * Copyright (C) 2019 - 2021
7 *
8 * This file is part of Linear Arrangement Library. To see the full code
9 * visit the webpage:
10 * https://github.com/lluisalemanypuig/linear-arrangement-library.git
11 *
12 * Linear Arrangement Library is free software: you can redistribute it
13 * and/or modify it under the terms of the GNU Affero General Public License
14 * as published by the Free Software Foundation, either version 3 of the
15 * License, or (at your option) any later version.
16 *
17 * Linear Arrangement Library is distributed in the hope that it will be
18 * useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
19 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
20 * GNU Affero General Public License for more details.
21 *
22 * You should have received a copy of the GNU Affero General Public License
23 * along with Linear Arrangement Library. If not, see <http://www.gnu.org/licenses/>.
24 *
25 * Contact:
26 *
27 * LluĂ­s Alemany Puig (lalemany@cs.upc.edu)
28 * LARCA (Laboratory for Relational Algorithmics, Complexity and Learning)
29 * CQL (Complexity and Quantitative Linguistics Lab)
30 * Jordi Girona St 1-3, Campus Nord UPC, 08034 Barcelona. CATALONIA, SPAIN
31 * Webpage: https://cqllab.upc.edu/people/lalemany/
32 *
33 * Ramon Ferrer i Cancho (rferrericancho@cs.upc.edu)
34 * LARCA (Laboratory for Relational Algorithmics, Complexity and Learning)
35 * CQL (Complexity and Quantitative Linguistics Lab)
36 * Office S124, Omega building
37 * Jordi Girona St 1-3, Campus Nord UPC, 08034 Barcelona. CATALONIA, SPAIN
38 * Webpage: https://cqllab.upc.edu/people/rferrericancho/
39 *
40 ********************************************************************/
41
42#pragma once
43
44// C++ includes
45
46// lal includes
47#include <lal/numeric/rational.hpp>
48#include <lal/graphs/undirected_graph.hpp>
49#include <lal/graphs/directed_graph.hpp>
50#include <lal/graphs/free_tree.hpp>
51#include <lal/graphs/rooted_tree.hpp>
52
53namespace lal {
54namespace properties {
55
71numeric::rational
72moment_degree_rational(const graphs::undirected_graph& g, uint32_t p) noexcept;
82double moment_degree(const graphs::undirected_graph& g, uint32_t p) noexcept;
83
100moment_degree_rational(const graphs::directed_graph& g, uint32_t p) noexcept;
110double moment_degree(const graphs::directed_graph& g, uint32_t p) noexcept;
111
137double moment_degree_in(const graphs::directed_graph& g, uint32_t p) noexcept;
138
165double moment_degree_out(const graphs::directed_graph& g, uint32_t p)noexcept;
166
187
208
218double hubiness(const graphs::free_tree& t) noexcept;
219
230double hubiness(const graphs::rooted_tree& t) noexcept;
231
232} // -- namespace properties
233} // -- namespace lal
Directed graph class.
Definition directed_graph.hpp:68
Free tree graph class.
Definition free_tree.hpp:59
Rooted tree graph class.
Definition rooted_tree.hpp:107
Undirected graph class.
Definition undirected_graph.hpp:67
Exact rational number.
Definition rational.hpp:63
double moment_degree_out(const graphs::directed_graph &g, uint32_t p) noexcept
Computes the -th moment of out-degree about zero of a directed graph as a floating point value.
numeric::rational hubiness_rational(const graphs::free_tree &t) noexcept
Computes the hubiness coefficient as an exact rational number.
double moment_degree_in(const graphs::directed_graph &g, uint32_t p) noexcept
Computes the -th moment of in-degree about zero of a directed graph as a floating point value.
numeric::rational moment_degree_out_rational(const graphs::directed_graph &g, uint32_t p) noexcept
Computes the -th moment of out-degree about zero of a directed graph as an exact rational value.
numeric::rational moment_degree_rational(const graphs::undirected_graph &g, uint32_t p) noexcept
Computes the -th moment of degree about zero of a graph as an exact rational value.
numeric::rational moment_degree_in_rational(const graphs::directed_graph &g, uint32_t p) noexcept
Computes the -th moment of in-degree about zero of a directed graph as an exact rational value.
double hubiness(const graphs::free_tree &t) noexcept
Computes the hubiness coefficient as a floating point value.
double moment_degree(const graphs::undirected_graph &g, uint32_t p) noexcept
Computes the -th moment of degree about zero of a directed graph as a floating point value.
Main namespace of the library.
Definition definitions.hpp:48