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Merged
martapavelka merged 1 commit into from
Feb 22, 2026
Merged

Created using Colab #28

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22 changes: 12 additions & 10 deletions scpc.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -1210,9 +1210,9 @@
" new_labeling = facets_relabeling(facets_list, perm)\n",
" ## Check if this labeling makes the CS weakly-chordal\n",
" if is_w_chordal_labeling(new_labeling):\n",
" print('The labeling', new_labeling, 'makes this CS weakly-chordal')\n",
" #print('The labeling', new_labeling, 'makes this CS weakly-chordal')\n",
" return new_labeling\n",
" print('Not weakly-chordal.')\n",
" #print('Not weakly-chordal.')\n",
" return []\n",
"\n",
"##############################################################################\n",
Expand Down Expand Up @@ -1244,7 +1244,7 @@
"from itertools import combinations\n",
"\n",
"## Note: not checking for the same max of F and G\n",
"def w_chordal_for_pair_of_facets (F, G, facets_labeling):\n",
"def w_chordal_for_pair_of_facets_s (F, G, facets_labeling):\n",
" ## Do union of elements of F and G without repetitions\n",
" union_F_G = list(set(F + G))\n",
" ## Remove the largest label\n",
Expand All @@ -1263,12 +1263,12 @@
"##############################################################################\n",
"## Fucntion to check if a given labeling is weakly-chordal\n",
"## Find all facet pairs with the same maximum and check weak-chordality condition for them\n",
"def is_w_chordal_labeling (facets_labeling):\n",
"def is_w_chordal_labeling_s (facets_labeling):\n",
" ## Going through all the facet pairs (F, G)\n",
" for var in combinations(facets_labeling, 2):\n",
" ## If the maximum of F and G is the same, check the w-chord condition\n",
" if var[0][-1] == var[1][-1]:\n",
" if not w_chordal_for_pair_of_facets(var[0], var[1], facets_labeling):\n",
" if not w_chordal_for_pair_of_facets_s(var[0], var[1], facets_labeling):\n",
" # print('This labeling is not w-chordal. The trouble pair is', var[0], var[1] )\n",
" return False\n",
" # print('ok pair')\n",
Expand All @@ -1282,16 +1282,18 @@
"## Check the weakly-chordal condition for every skeleton for a given labeling\n",
"\n",
"def is_ws_chordal_labeling (facets_list):\n",
" if not is_w_chordal_labeling(facets_list):\n",
" if not is_w_chordal_labeling_s(facets_list):\n",
" return False\n",
" d_plus_one = len(facets_list[0])\n",
" for k in range(2,d_plus_one):\n",
" k_skeleton_repetitions = []\n",
" for F in facets_list:\n",
" k_faces = [*combinations(F,k)]\n",
" k_skeleton_repetitions.extend(k_faces)\n",
" k_skeleton = sorted(list(set(k_skeleton_repetitions)))\n",
" if not is_w_chordal_labeling(k_skeleton):\n",
" k_skeleton_tuples = sorted(list(set(k_skeleton_repetitions)))\n",
" k_skeleton = [list(elem) for elem in k_skeleton_tuples]\n",
" # print('skeleton', k_skeleton)\n",
" if not is_w_chordal_labeling_s(k_skeleton):\n",
" return False\n",
" return True\n",
"\n",
Expand All @@ -1307,9 +1309,9 @@
" new_labeling = facets_relabeling(facets_list, perm)\n",
" ## Check if this labeling makes the CS weakly-chordal\n",
" if is_ws_chordal_labeling(new_labeling):\n",
" print('The labeling', new_labeling, 'makes this CS ws-chordal')\n",
" #print('The labeling', new_labeling, 'makes this CS s-chordal')\n",
" return new_labeling\n",
" print('Not ws-chordal.')\n",
" #print('Not s-chordal.')\n",
" return []\n",
"\n",
"########################################################################\n",
Expand Down