{"id":436,"date":"2026-07-10T16:18:22","date_gmt":"2026-07-10T16:18:22","guid":{"rendered":"https:\/\/sites.rutgers.edu\/fredroberts\/?page_id=436"},"modified":"2026-09-08T13:44:16","modified_gmt":"2026-09-08T13:44:16","slug":"publication-index","status":"publish","type":"page","link":"https:\/\/sites.rutgers.edu\/fredroberts\/publication-index\/","title":{"rendered":"Publication Index"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p style=\"font-size: 2rem\">Guide to Publications by F.S. Roberts<\/p>\n<p>&nbsp;<\/p>\n<p style=\"font-size: 1.5rem\">The publication numbers below correspond to one of the following publication lists:<\/p>\n<p style=\"font-size: 1.5rem\"><a href=\"http:\/\/www.dimacs.rutgers.edu\/People\/Staff\/froberts\/BooksAuthored.html\">Books Authored by F.S. Roberts<\/a><br \/>\n<a href=\"http:\/\/www.dimacs.rutgers.edu\/People\/Staff\/froberts\/BooksEdited.html\">Books Edited by F.S. Roberts<\/a><br \/>\n<a href=\"http:\/\/www.dimacs.rutgers.edu\/People\/Staff\/froberts\/BooksReviewed.html\">Book Reviews by F.S. Roberts<\/a><br \/>\n<a href=\"http:\/\/www.dimacs.rutgers.edu\/People\/Staff\/froberts\/ArticlesAuthored.html\">Articles Authored by F.S. Roberts<\/a><\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p><a name=\"Topic71\"><\/a><b>Publications on ARTIFICIAL INTELLIGENCE<\/b>: Article 200, 214, 215, 225<\/p>\n<p><a name=\"Topic73\"><\/a>Robotics: Article 200, 225<\/p>\n<hr \/>\n<p><a name=\"Topic3\"><\/a><b>Publications on BIOLOGY<\/b><\/p>\n<p><a name=\"Topic69\"><\/a>Biodiversity: Article 195, 206<\/p>\n<p><a name=\"Topic55\"><\/a>Bioterrorism: Article 147, 149<\/p>\n<p><a name=\"Topic57\"><\/a>Digital Biology: Article 150<\/p>\n<p><a name=\"Topic17\"><\/a>Ecology (mostly competition graphs): Articles 30, 31, 48, 50, 51, 64,<br \/>\n70, 84, 85, 91, 97, 98, 102, 109, 121, 127, 131, 139, 176, 215<\/p>\n<p>Education in the Life Sciences: Article 198<\/p>\n<p><a name=\"Topic21\"><\/a>Epidemiology: Article 53, 147, 149, 162, 165, 167<\/p>\n<p><a name=\"Topic35\"><\/a>Molecular biology: Edited books 11, 13; articles 30, 103, 141, 145<\/p>\n<p><a name=\"Topic39\"><\/a>Phylogeny: Articles 122, 128, 131, 134, 138<\/p>\n<p>General: Book 1, edited books 8, 11, 15 articles 53, 82<\/p>\n<hr \/>\n<p><a name=\"Topic55\"><\/a><b>Publications on BIOTERRORISM<\/b>: Article 147, 149<\/p>\n<hr \/>\n<p><a name=\"Topic7\"><\/a><b>Publications on COMBINATORICS AND NUMBER THEORY<\/b><\/p>\n<p><a name=\"Topic8\"><\/a>Combinatorial optimization: Articles 86, 92, 112, 120,<br \/>\n124, 167, 169<\/p>\n<p><a name=\"Topic29\"><\/a>Integer sequences: Articles 73, 74, 78, 80, 83, 88, 104<\/p>\n<p><a name=\"Topic45\"><\/a>Ramsey theory: Article 58<\/p>\n<p>General: Book 4, 5. 5a, 5b, 5c, edited books 7, 8, 14, 18<\/p>\n<hr \/>\n<p><a name=\"Topic10\"><\/a><b>Publications on COMMUNICATIONS<\/b><\/p>\n<p><a name=\"Topic5\"><\/a>Channel assignment, frequency assignment: Articles 36, 42, 45, 90,<br \/>\n93, 95, 99, 142, 145, 146, 155<\/p>\n<p><a name=\"Topic9\"><\/a>Communication networks: Edited book 9<\/p>\n<hr \/>\n<p><a name=\"Topic12\"><\/a><b>Publications on CONSENSUS, SOCIAL CHOICE<\/b><\/p>\n<p><a name=\"Topic2\"><\/a>Bioconsensus: Edited book 15, Article 103<\/p>\n<p><a name=\"Topic30\"><\/a>Location theory: Article 113, 177<\/p>\n<p><a name=\"Topic6\"><\/a>Medians, means, centers: Articles 101, 103, 126, 143, 177<\/p>\n<p><a name=\"Topic33\"><\/a>Merging functions: Articles 81, 87<\/p>\n<p><a name=\"Topic41\"><\/a>Plurality functions: Articles 89, 94<\/p>\n<p>Miscellaneous: Article 145, 201<\/p>\n<p>General: Book 1, edited book 18, Article 156, 211, 219<\/p>\n<hr \/>\n<p><a name=\"Topic67\"><\/a><b>Publications on DATA SCIENCE<\/b><\/p>\n<p>Edited books 16, 25, Article 191<\/p>\n<hr \/>\n<p><a name=\"Topic14\"><\/a><b>Publications on DECISION MAKING, UTILITY THEORY<\/b><\/p>\n<p>Book 3, Edited book 18, 21, Articles 3, 8, 10, 11, 17, 32, 35, 46, 79, 156, 159, 174, 201, 211, 219<\/p>\n<hr \/>\n<p><a name=\"Topic16\"><\/a><b>Publications on DISCRETE MATHEMATICS &#8212; GENERAL<\/b><\/p>\n<p>See also: <a href=\"#Topic27\">GRAPH THEORY<\/a>, miscellaneous; and <a href=\"#Topic7\">COMBINATORICS AND NUMBER<br \/>\nTHEORY<\/a>, general<\/p>\n<p>Book 1, edited books 6, 7, 14, article 144<\/p>\n<hr \/>\n<p><a name=\"Topic18\"><\/a><b>Publications on ECONOMICS<\/b><\/p>\n<p>Decision making, utility theory &#8212; see <a href=\"#Topic14\">DECISION MAKING, UTILITY THEORY<\/a><\/p>\n<p>Energy use &#8212; see <a href=\"#Topic20\">ENERGY USE<\/a><\/p>\n<p>Game theory &#8212; see <a href=\"#Topic25\">GAME THEORY<\/a><\/p>\n<hr \/>\n<p><a name=\"Topic20\"><\/a><b>Publications on ENERGY USE<\/b><\/p>\n<p>Book 1, edited books 1, 2, 3, 4, 5, 20, Articles 12, 19, 22, 23, 24, 25,<br \/>\n26, 33, 37, 38, 39, 41, 43, 47, 50, 51<\/p>\n<hr \/>\n<p><a name=\"Topic22\"><\/a><b>Publications on ENVIRONMENTAL PROBLEMS<\/b><\/p>\n<p>Book 1, edited books 20, 24, 26, articles 13, 24, 26, 27, 204, 222<br \/>\nSee also <a href=\"#Topic20\">ENERGY USE<\/a><\/p>\n<p><a name=\"Topic74\"><\/a>Climate Change: article 222<\/p>\n<p><a name=\"Topic75\"><\/a>Air Pollution: articles 24, 26, 27, 222<\/p>\n<hr \/>\n<p><a name=\"Topic24\"><\/a><b>Publications on FUNCTIONAL EQUATIONS<\/b><\/p>\n<p>Articles 67, 81, 87, 89, 94, 112<\/p>\n<hr \/>\n<p><a name=\"Topic25\"><\/a><b>Publications on GAME THEORY<\/b><\/p>\n<p>Book 1, Article 156<\/p>\n<hr \/>\n<p><a name=\"Topic26\"><\/a><b>Publications on GEOMETRY<\/b><\/p>\n<p>Articles 1, 20<\/p>\n<hr \/>\n<p><a name=\"Topic27\"><\/a><b>Publications on GRAPH THEORY<\/b><\/p>\n<p><a name=\"Topic11\"><\/a>Competition graphs, competition numbers, and their variants: Articles<br \/>\n31, 48, 64, 70, 84, 85, 91, 97, 98, 102, 109, 121, 127, 131, 139<\/p>\n<p><a name=\"Topic28\"><\/a>Graph coloring and its variants (T-coloring, L(2,1)-coloring, list<br \/>\ncoloring, etc.): Books 1,4, articles 27, 45, 90, 93, 95, 99, 116, 118, 142, 145, 146, 155, 160<\/p>\n<p><a name=\"Topic4\"><\/a>Intersection graphs (indifference graphs, interval graphs, boxicity,<br \/>\netc.): Articles 3, 4, 7, 8, 10, 11, 35,36, 42, 46, 49, 54, 56, 59,<br \/>\n117, 125, 139<\/p>\n<p><a name=\"Topic36\"><\/a>One-way streets (orientations of graphs): Articles 27, 30, 71, 77,<br \/>\n96, 105, 115, 133<\/p>\n<p><a name=\"Topic40\"><\/a>Phylogeny graphs, phylogeny numbers: Articles 122, 128, 131, 134, 138<\/p>\n<p><a name=\"Topic46\"><\/a>Role assignments: Articles 117, 123, 125, 129, 135, 136<\/p>\n<p><a name=\"Topic13\"><\/a>Signed graphs, marked graphs: Articles 12, 14, 15, 19, 22, 23, 24, 25, 26, 37, 38,<br \/>\n43, 110, 132, 137<\/p>\n<p>Miscellaneous: Articles 5, 9, 34, 44, 62, 75, 92, 108, 111,<br \/>\n113, 126, 140, 143, 152, 160, 177<\/p>\n<p>General: Books 1, 2, 4, 5, edited books 7, 8, 14, 18, articles 100, 140, 162<\/p>\n<hr \/>\n<p><a name=\"Topic56\"><\/a><b>Publications on HOMELAND SECURITY<\/b><\/p>\n<p><a name=\"Topic72\"><\/a>Criminal Disruption of Supply Chains: Articles 216, 218, 220<\/p>\n<p><a name=\"Topic61\"><\/a>Fisheries Law Enforcement: Article 178<\/p>\n<p><a name=\"Topic59\"><\/a>Marine Transportation System\/Ports: Article 151, 153, 157, 158, 163, 169, 207, 208, 210, 212, 217, 221, 224<\/p>\n<p><a name=\"Topic65\"><\/a>Maritime Cyber Security: Edited book 23, article 185, 188, 190, 194<\/p>\n<p><a name=\"Topic63\"><\/a>Natural Disasters: Article 181, 193, 200<\/p>\n<p><a name=\"Topic60\"><\/a>Nuclear Detection: Article 166, 168, 175, 187<\/p>\n<p><a name=\"Topic58\"><\/a>Sensors: Article 152<\/p>\n<p><a name=\"Topic62\"><\/a>Stadium and Large Venue Security: Article 179, 182, 194, 197, 217, 223<\/p>\n<p><a name=\"Topic68\"><\/a>Transportation security: Article 197, 217<\/p>\n<p>General: Edited Book 22, Articles 147, 148, 149, 154, 170, 171, 175, 178, 180, 183, 184, 185, 186, 187, 189, 192, 209, 216, 217, 218, 220<\/p>\n<hr \/>\n<p><a name=\"Topic19\"><\/a><b>Publications on MATHEMATICS AND COMPUTER SCIENCE EDUCATION<\/b><\/p>\n<p>Edited book 10, 19, articles 52, 55, 61, 114, 115, 119, 161, 164, 173, 198<\/p>\n<hr \/>\n<p><a name=\"Topic64\"><\/a><b>Publications on MATHEMATICS OF PLANET EARTH<\/b><\/p>\n<p>Book 1, 2, Edited book 1, 2, 3, 4, 5, 20, 24, 26, Articles 12, 13, 19, 22, 23, 24, 25, 26, 27, 33, 37, 38, 39, 41, 43, 47, 50, 51, 203, 204, 205, 206<\/p>\n<hr \/>\n<p><a name=\"Topic32\"><\/a><b>Publications on MEASUREMENT THEORY<\/b><\/p>\n<p><a name=\"Topic23\"><\/a>Foundations of probability: Articles 10, 18, 21, 80<\/p>\n<p><a name=\"Topic31\"><\/a>Meaningfulness: Articles 38, 40, 57, 60, 63, 69, 76,<br \/>\n79, 86, 95, 106, 107, 112, 120, 124, 130, 165, 176, 186, 222<\/p>\n<p>Decision Making, Utility Theory: see <a href=\"#Topic14\">DECISION MAKING, UTILITY THEORY<\/a><\/p>\n<p>Miscellaneous: Articles 2, 20, 21, 28, 38, 65, 66, 67, 68, 72, 73 74,<br \/>\n78, 79, 80, 81, 83, 87, 88, 104, 159<\/p>\n<p>General: Books 1, 3, 3a<\/p>\n<hr \/>\n<p><a name=\"Topic34\"><\/a><b>Publications on MODELING<\/b><\/p>\n<p>General: Book 1, edited book 6<\/p>\n<hr \/>\n<p><a name=\"Topic37\"><\/a><b>Publications on PARTIAL ORDERS<\/b><\/p>\n<p><a name=\"Topic15\"><\/a>Dimension of partial orders: Articles 6, 16<\/p>\n<p><a name=\"Topic49\"><\/a>Semiorders: Articles 3, 8, 10, 11, 46, 139<\/p>\n<p>General: edited book 18<\/p>\n<hr \/>\n<p><a name=\"Topic42\"><\/a><b>Publications on PSYCH0LOGY<\/b><\/p>\n<p>Decision Making, Utility Theory &#8212; see <a href=\"#Topic14\">DECISION MAKING, UTILITY THEORY<\/a><\/p>\n<p>Measurement theory &#8212; see <a href=\"#Topic32\">MEASUREMENT THEORY<\/a><\/p>\n<p><a name=\"Topic38\"><\/a>Perception: Article 1<\/p>\n<p><a name=\"Topic43\"><\/a>Psychophysics: Articles 67, 68<\/p>\n<p>General: Books 1, 3, edited book 12, Article 219<\/p>\n<hr \/>\n<p><a name=\"Topic44\"><\/a><b>Publications on PULSE PROCESSES, STRUCTURAL MODELING<\/b><\/p>\n<p>Books 1, 2, articles 12, 19, 22, 23, 24, 25, 26, 29, 37, 38, 43<\/p>\n<hr \/>\n<p><a name=\"Topic66\"><\/a><b>Publications on RESILIENCE\/SUSTAINABILITY<\/b><\/p>\n<p>Edited book 20, 25, 26, Articles 176, 191, 193, 199, 200, 203, 204, 205, 206, 210<\/p>\n<hr \/>\n<p><a name=\"Topic47\"><\/a><b>Publications on SCHEDULING<\/b><\/p>\n<p>Articles 36, 42, 54, 56, 112, 120, 124, 169<\/p>\n<hr \/>\n<p><a name=\"Topic48\"><\/a><b>Publications on SERIATION<\/b><\/p>\n<p>Article 35<\/p>\n<hr \/>\n<p><a name=\"Topic50\"><\/a><b>Publications on SOCIAL AND BEHAVIORAL SCIENCES &#8212; GENERAL<\/b><\/p>\n<p>Books 1, 2, 3, edited book 8, articles 34, 82, 203<\/p>\n<hr \/>\n<p><a name=\"Topic51\"><\/a><b>Publications on SOCIOLOGY<\/b><\/p>\n<p><a name=\"Topic1\"><\/a>Balance in small groups, consistency: Articles 14, 15, 110, 132, 137<\/p>\n<p>Role assignments: Articles 117, 123, 125, 129, 135, 136<\/p>\n<p>Social choice &#8212; see <a href=\"#Topic12\">CONSENSUS, SOCIAL CHOICE<\/a><\/p>\n<p>General: Books 1, 2<\/p>\n<hr \/>\n<p><a name=\"Topic70\"><\/a><b>Publications on SUPPLY CHAINS<\/b><\/p>\n<p>Article 202, 207, 208, 210, 212, 213, 214, 216, 218, 220<\/p>\n<hr \/>\n<p><a name=\"Topic52\"><\/a><b>Publications on THERMODYNAMICS<\/b><\/p>\n<p>Article 2<\/p>\n<hr \/>\n<p><a name=\"Topic53\"><\/a><b>Publications on TRANSPORTATION<\/b><\/p>\n<p>One-way streets (orientations of graphs): Articles 27, 30, 71, 77,<br \/>\n96, 105, 115, 133<\/p>\n<p><a name=\"Topic54\"><\/a>Traffic lights: Articles 36, 42, 54, 56&lt;\/&gt;<\/p>\n<p>General: Books 1, 2, 4, 5, articles 24, 26<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Guide to Publications by F.S. Roberts &nbsp; The publication numbers below correspond to one of the following publication lists: Books Authored by F.S. Roberts Books Edited by F.S. Roberts &hellip; <a href=\"https:\/\/sites.rutgers.edu\/fredroberts\/publication-index\/\" class=\"\">Read More<\/a><\/p>\n","protected":false},"author":4683,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-436","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Publication Index - Fred Roberts, Board of Governors Professor, Math\/CCICADA\/DIMACS<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sites.rutgers.edu\/fredroberts\/publication-index\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Publication Index - Fred Roberts, Board of Governors Professor, Math\/CCICADA\/DIMACS\" \/>\n<meta property=\"og:description\" content=\"&nbsp; Guide to Publications by F.S. 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