--------------------------------------------------------------------------------------- EXPERIMENT 4. Cities with population, at least 200,000 are: Winnipeg MB Wichita KS Washington DC Vancouver BC Tulsa OK Tucson AZ Toronto ON Toledo OH Tampa FL Shreveport LA Seattle WA Santa Ana CA San Jose CA San Francisco CA San Diego CA San Antonio TX Saint Paul MN Saint Louis MO Sacramento CA Rochester NY Richmond VA The MST of these cities is: Winnipeg MB Saint Paul MN Wichita KS Tulsa OK Washington DC Richmond VA Washington DC Rochester NY Vancouver BC Seattle WA Tulsa OK Shreveport LA Tulsa OK Saint Louis MO Tulsa OK Wichita KS Tucson AZ San Diego CA Tucson AZ San Antonio TX Toronto ON Rochester NY Toronto ON Toledo OH Toledo OH Saint Louis MO Toledo OH Toronto ON Tampa FL Richmond VA Shreveport LA San Antonio TX Shreveport LA Tulsa OK Seattle WA Sacramento CA Seattle WA Vancouver BC Santa Ana CA San Jose CA Santa Ana CA San Diego CA San Jose CA San Francisco CA San Jose CA Santa Ana CA San Francisco CA Sacramento CA San Francisco CA San Jose CA San Diego CA Tucson AZ San Diego CA Santa Ana CA San Antonio TX Shreveport LA San Antonio TX Tucson AZ Saint Paul MN Saint Louis MO Saint Paul MN Winnipeg MB Saint Louis MO Saint Paul MN Saint Louis MO Toledo OH Saint Louis MO Tulsa OK Sacramento CA San Francisco CA Sacramento CA Seattle WA Rochester NY Toronto ON Rochester NY Washington DC Richmond VA Washington DC Richmond VA Tampa FL The cost of the MST of the high population cities is 7565.0 Connecting the spokes to the hubs... Connecting spoke Youngstown OH to hub Toledo OH Connecting spoke Yankton SD to hub Saint Paul MN Connecting spoke Yakima WA to hub Seattle WA Connecting spoke Worcester MA to hub Rochester NY Connecting spoke Wisconsin Dells WI to hub Saint Paul MN Connecting spoke Winston-Salem NC to hub Richmond VA Connecting spoke Winchester VA to hub Washington DC Connecting spoke Wilmington NC to hub Richmond VA Connecting spoke Wilmington DE to hub Washington DC Connecting spoke Williston ND to hub Winnipeg MB Connecting spoke Williamsport PA to hub Rochester NY Connecting spoke Williamson WV to hub Toledo OH Connecting spoke Wichita Falls TX to hub Tulsa OK Connecting spoke Wheeling WV to hub Toledo OH Connecting spoke West Palm Beach FL to hub Tampa FL Connecting spoke Wenatchee WA to hub Seattle WA Connecting spoke Weed CA to hub Sacramento CA Connecting spoke Waycross GA to hub Tampa FL Connecting spoke Wausau WI to hub Saint Paul MN Connecting spoke Waukegan IL to hub Toledo OH Connecting spoke Watertown SD to hub Saint Paul MN Connecting spoke Watertown NY to hub Rochester NY Connecting spoke Waterloo IA to hub Saint Paul MN Connecting spoke Waterbury CT to hub Washington DC Connecting spoke Warren PA to hub Rochester NY Connecting spoke Walla Walla WA to hub Seattle WA Connecting spoke Waco TX to hub San Antonio TX Connecting spoke Vincennes IN to hub Saint Louis MO Connecting spoke Victoria TX to hub San Antonio TX Connecting spoke Vicksburg MS to hub Shreveport LA Connecting spoke Valley City ND to hub Winnipeg MB Connecting spoke Valdosta GA to hub Tampa FL Connecting spoke Utica NY to hub Rochester NY Connecting spoke Uniontown PA to hub Washington DC Connecting spoke Tyler TX to hub Shreveport LA Connecting spoke Twin Falls ID to hub Sacramento CA Connecting spoke Tuscaloosa AL to hub Shreveport LA Connecting spoke Tupelo MS to hub Saint Louis MO Connecting spoke Trinidad CO to hub Wichita KS Connecting spoke Trenton NJ to hub Washington DC Connecting spoke Traverse City MI to hub Toledo OH Connecting spoke Topeka KS to hub Wichita KS Connecting spoke Texarkana TX to hub Shreveport LA Connecting spoke Terre Haute IN to hub Saint Louis MO Connecting spoke Tallahassee FL to hub Tampa FL Connecting spoke Tacoma WA to hub Seattle WA Connecting spoke Syracuse NY to hub Rochester NY Connecting spoke Swainsboro GA to hub Tampa FL Connecting spoke Sumter SC to hub Richmond VA Connecting spoke Stroudsburg PA to hub Washington DC Connecting spoke Stockton CA to hub Sacramento CA Connecting spoke Stevens Point WI to hub Saint Paul MN Connecting spoke Steubenville OH to hub Toledo OH Connecting spoke Sterling CO to hub Wichita KS Connecting spoke Staunton VA to hub Richmond VA Connecting spoke Springfield OH to hub Toledo OH Connecting spoke Springfield MO to hub Tulsa OK Connecting spoke Springfield MA to hub Rochester NY Connecting spoke Springfield IL to hub Saint Louis MO Connecting spoke Spokane WA to hub Seattle WA Connecting spoke South Bend IN to hub Toledo OH Connecting spoke Sioux Falls SD to hub Saint Paul MN Connecting spoke Sioux City IA to hub Saint Paul MN Connecting spoke Sherman TX to hub Shreveport LA Connecting spoke Sheridan WY to hub Saint Paul MN Connecting spoke Seminole OK to hub Tulsa OK Connecting spoke Selma AL to hub Shreveport LA Connecting spoke Sedalia MO to hub Saint Louis MO Connecting spoke Scranton PA to hub Rochester NY Connecting spoke Scottsbluff NE to hub Wichita KS Connecting spoke Schenectady NY to hub Rochester NY Connecting spoke Savannah GA to hub Tampa FL Connecting spoke Sault Sainte Marie MI to hub Toledo OH Connecting spoke Sarasota FL to hub Tampa FL Connecting spoke Santa Rosa CA to hub San Francisco CA Connecting spoke Santa Fe NM to hub Tucson AZ Connecting spoke Santa Barbara CA to hub Santa Ana CA Connecting spoke Sandusky OH to hub Toledo OH Connecting spoke San Bernardino CA to hub Santa Ana CA Connecting spoke San Angelo TX to hub San Antonio TX Connecting spoke Salt Lake City UT to hub Sacramento CA Connecting spoke Salisbury MD to hub Washington DC Connecting spoke Salinas CA to hub San Jose CA Connecting spoke Salina KS to hub Wichita KS Connecting spoke Salida CO to hub Wichita KS Connecting spoke Salem OR to hub Seattle WA Connecting spoke Saint Joseph MO to hub Wichita KS Connecting spoke Saint Joseph MI to hub Toledo OH Connecting spoke Saint Johnsbury VT to hub Rochester NY Connecting spoke Saint Cloud MN to hub Saint Paul MN Connecting spoke Saint Augustine FL to hub Tampa FL Connecting spoke Saginaw MI to hub Toledo OH Connecting spoke Rutland VT to hub Rochester NY Connecting spoke Roswell NM to hub Tucson AZ Connecting spoke Rocky Mount NC to hub Richmond VA Connecting spoke Rock Springs WY to hub Sacramento CA Connecting spoke Rockford IL to hub Saint Louis MO Connecting spoke Rochester MN to hub Saint Paul MN Connecting spoke Roanoke VA to hub Richmond VA Connecting spoke Richmond IN to hub Toledo OH Connecting spoke Richfield UT to hub Santa Ana CA Connecting spoke Rhinelander WI to hub Saint Paul MN Connecting spoke Reno NV to hub Sacramento CA Connecting spoke Regina SK to hub Winnipeg MB Connecting spoke Red Bluff CA to hub Sacramento CA Connecting spoke Reading PA to hub Washington DC Connecting spoke Ravenna OH to hub Toledo OH Number of cities visited by the airline 128 Number of routes used the airline 127 Average number of airline routes that visit a city is 1.984375 Minimum number of airline routes that visit a city is 1 Maximum number of airline routes that visit a city is 16 Average number of hops to get from one city to another is 8.196358267716535 ---------------------------------------------------------------------------------------