/* igraph library. Copyright (C) 2006-2012 Gabor Csardi 334 Harvard street, Cambridge, MA 02139 USA This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ #include igraph_bool_t handshaking_lemma(igraph_t *g, igraph_vector_int_t *v) { /* Consistency check of the handshaking lemma: * If d is the sum of all vertex degrees, then d = 2|E|. */ return igraph_vector_int_sum(v) == 2 * igraph_ecount(g); } int main(void) { igraph_t g; igraph_vector_int_t v; igraph_vector_int_t seq; igraph_int_t mdeg; /* Initialize the library. */ igraph_setup(); /* Create graph */ igraph_vector_int_init(&v, 8); igraph_small(&g, 4, IGRAPH_DIRECTED, 0,1, 1,2, 2,3, 2,2, -1); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_OUT, IGRAPH_NO_LOOPS); igraph_vector_int_print(&v); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_OUT, IGRAPH_LOOPS); igraph_vector_int_print(&v); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_IN, IGRAPH_NO_LOOPS); igraph_vector_int_print(&v); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_IN, IGRAPH_LOOPS); igraph_vector_int_print(&v); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_ALL, IGRAPH_NO_LOOPS); igraph_vector_int_print(&v); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_ALL, IGRAPH_LOOPS); igraph_vector_int_print(&v); if (!handshaking_lemma(&g, &v)) { exit(3); } igraph_destroy(&g); igraph_small(&g, 4, IGRAPH_UNDIRECTED, 0,1, 1,2, 2,3, 2,2, -1); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_OUT, IGRAPH_NO_LOOPS); igraph_vector_int_print(&v); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_OUT, IGRAPH_LOOPS); igraph_vector_int_print(&v); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_IN, IGRAPH_NO_LOOPS); igraph_vector_int_print(&v); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_IN, IGRAPH_LOOPS); igraph_vector_int_print(&v); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_ALL, IGRAPH_NO_LOOPS); igraph_vector_int_print(&v); igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_ALL, IGRAPH_LOOPS); igraph_vector_int_print(&v); if (!handshaking_lemma(&g, &v)) { exit(4); } /* Degree of the same vertex multiple times */ igraph_vector_int_init(&seq, 3); VECTOR(seq)[0] = 2; VECTOR(seq)[1] = 0; VECTOR(seq)[2] = 2; igraph_degree(&g, &v, igraph_vss_vector(&seq), IGRAPH_ALL, IGRAPH_LOOPS); igraph_vector_int_print(&v); igraph_destroy(&g); igraph_vector_int_destroy(&seq); /* Maximum degree */ igraph_ring(&g, 10, IGRAPH_UNDIRECTED, /* mutual */ false, /* circular */ false); igraph_maxdegree(&g, &mdeg, igraph_vss_all(), IGRAPH_ALL, IGRAPH_LOOPS); if (mdeg != 2) { exit(5); } igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_ALL, IGRAPH_LOOPS); if (! handshaking_lemma(&g, &v)) { exit(6); } igraph_destroy(&g); igraph_full(&g, 10, IGRAPH_UNDIRECTED, IGRAPH_NO_LOOPS); igraph_maxdegree(&g, &mdeg, igraph_vss_all(), IGRAPH_ALL, IGRAPH_LOOPS); if (mdeg != 9) { exit(7); } igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_ALL, IGRAPH_LOOPS); if (! handshaking_lemma(&g, &v)) { exit(8); } igraph_destroy(&g); igraph_star(&g, 10, IGRAPH_STAR_OUT, /* center */ 0); igraph_maxdegree(&g, &mdeg, igraph_vss_all(), IGRAPH_OUT, IGRAPH_LOOPS); if (mdeg != 9) { exit(9); } igraph_maxdegree(&g, &mdeg, igraph_vss_all(), IGRAPH_IN, IGRAPH_LOOPS); if (mdeg != 1) { exit(10); } igraph_maxdegree(&g, &mdeg, igraph_vss_all(), IGRAPH_ALL, IGRAPH_LOOPS); if (mdeg != 9) { exit(11); } igraph_degree(&g, &v, igraph_vss_all(), IGRAPH_ALL, IGRAPH_LOOPS); if (! handshaking_lemma(&g, &v)) { exit(12); } igraph_destroy(&g); igraph_vector_int_destroy(&v); return 0; }