Fred S. Roberts | Academic Influence

Fred S. Roberts's AcademicInfluence.com Rankings

Fred S. Roberts

Mathematics

#1390

World Rank

#2302

Historical Rank

#578

USA Rank

Measure Theory

#972

World Rank

#1263

Historical Rank

#362

USA Rank

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Mathematics

Fred S. Roberts's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Princeton University

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Why Is Fred S. Roberts Influential?

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According to Wikipedia, Fred Stephen Roberts is an American mathematician, a professor of mathematics at Rutgers University, and a former director of DIMACS. Biography Roberts did his undergraduate studies at Dartmouth College, and received his Ph.D. from Stanford University in 1968; his doctoral advisor was Dana Scott. After holding positions at the University of Pennsylvania, RAND, and the Institute for Advanced Study, he joined the Rutgers faculty in 1972.

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Fred S. Roberts's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS (1978) (1947)
Measurement theory with applications to decisionmaking, utility, and the social sciences (1979) (658)
Applied Combinatorics (1984) (516)
Discrete Mathematical Models with Applications to Social, Biological, and Environmental Problems. (1976) (424)
Graph Theory and Its Applications to Problems of Society (1987) (245)
Irreversible k-threshold processes: Graph-theoretical threshold models of the spread of disease and of opinion (2009) (211)
T-colorings of graphs: recent results and open problems (1991) (209)
Partial orders of dimension 2 (1972) (170)
Applications of combinatorics and graph theory to the biological and social sciences (1989) (136)
Food webs, competition graphs, and the boxicity of ecological phase space (1978) (124)
On scientific laws without dimensional constants (1986) (91)
On the possible merging functions (1989) (89)
A Characterization of Clique Graphs. (1971) (88)
The Median Procedure on Median Graphs (1998) (82)
Applications of edge coverings by cliques (1985) (78)
On the compatibility between a graph and a simple order (1971) (73)
Computing the boxicity of a graph by covering its complement by cointerval graphs (1983) (68)
Mathematical Hierarchies and Biology (1997) (63)
Applications of the theory of meaningfulness to psychology (1985) (53)
p-competition graphs (1995) (52)
Homogeneous families of semiorders and the theory of probabilistic consistency (1971) (51)
PARTIAL ORDERS OF DIMENSION 2, INTERVAL ORDERS AND INTERVAL GRAPHS, (1970) (49)
The Mathematics Of Preference Choice And Order Essays In Honor Of Peter C Fishburn (2009) (46)
On nontransitive indifference (1970) (46)
A characterization of competition graphs of arbitrary digraphs (1983) (45)
Characterizations of the plurality function (1991) (44)
No-hole L(2, 1)-colorings (2003) (41)
On the Optimal Strongly Connected Orientations of City Street Graphs I: Large Grids (1988) (40)
Meaningless Statistics (1987) (40)
Building and Analyzing an Energy Demand Signed Digraph (1973) (39)
Chapter 18 Limitations on conclusions using scales of measurement (1994) (39)
Double Semiorders and Double Indifference Graphs (1982) (38)
The Mathematics of Preference, Choice and Order (2009) (37)
Edge-tenacious networks (1995) (37)
Competition Numbers of Graphs with a Small Number of Triangles (1997) (36)
Sequential Decision Making Algorithms for Port of Entry Inspection: Overcoming Computational Challenges (2007) (35)
Scale type, meaningfulness, and the possible psychophysical laws (1986) (34)
On the theory of uniqueness in measurement (1976) (33)
2-Competition Graphs (1992) (33)
The little-known challenge of maritime cyber security (2015) (33)
Axiomatic thermodynamics and extensive measurement (1968) (32)
Signed Digraphs and the Growing Demand for Energy (1971) (32)
ON THE MOBILE RADIO FREQUENCY ASSIGNMENT PROBLEM AND THE TRAFFIC LIGHT PHASING PROBLEM (1979) (32)
On the optimal strongly connected orientations of city street graphs. III. Three east-west avenues or north-south streets (1989) (30)
On the Optimal Strongly Connected Orientations of City Street Graphs IV: Four East-West Avenues or North-South Streets (1994) (30)
Applied Combinatorics, Second Edition (2009) (29)
Locating sensors in paths and cycles: The case of 2-identifying codes (2008) (29)
Uniqueness in Finite Measurement (1989) (28)
A derivation of a measure of relative balance for social structures and a characterization of extensive ratio systems (1972) (28)
Mathematical Models in the Social and Behavioral Sciences. (1984) (28)
DIMACS Series in Discrete Mathematics and Theoretical Computer Science (2001) (27)
The center function on trees (2000) (26)
Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences: Three Representation Problems: Ordinal, Extensive, and Difference Measurement (1984) (25)
Axioms for unique subjective probability on finite sets (1989) (25)
On the optimal strongly connected orientations of city street graphs. II: Two east-west avenues or North - South Streets (1989) (25)
Full Color Theorems for L(2, 1)-Colorings (2006) (25)
On dimensional properties of graphs (1989) (24)
Experimental Analysis of Sequential Decision Making Algorithms for Port of Entry Inspection Procedures (2006) (23)
Signed Digraphs and the Energy Crisis (1975) (23)
Analogues of the Shannon Capacity of a Graph (1982) (23)
The Reversing Number of a Digraph (1995) (22)
The role assignment model nearly fits most social networks (2001) (22)
Reliability of Computer and Communication Networks (1991) (22)
How hard is it to determine if a graph has a 2-role assignment? (2001) (22)
What if utility functions do not exist? (1972) (22)
Discrete Mathematics in the Schools (2000) (21)
Unique Finite Difference Measurement (1988) (21)
Merging relative scores (1990) (21)
On the theory of meaningfulness of ordinal comparisons in measurement (1984) (20)
On the indicator function of the plurality function (1991) (20)
I-Colorings, I-Phasings, and I-Intersection assignments for graphs, and their applications (1983) (19)
Meaningfulness of conclusions from combinatorial optimization (1990) (19)
On the Meaningfulness of Optimal Solutions to Scheduling Problems: Can an Optimal Solution be Nonoptimal? (1998) (18)
Mixture axioms in linear and multilinear utility theories (1978) (18)
Unique finite conjoint measurement (1988) (18)
Characterizations of Consistent Marked Graphs (2003) (17)
No-hole 2-distant colorings (1993) (17)
(i, J) Competition Graphs (1991) (17)
Graphs and Discovery (2007) (17)
p-Competition Numbers (1993) (17)
Optimization Problems for Port-of-Entry Detection Systems (2008) (17)
Computer science and decision theory (2008) (17)
Some problems in the geometry of visual perception (2004) (17)
Challenges for Discrete Mathematics and Theoretical Computer Science in the Defense against Bioterrorism (2010) (16)
Applications of Ramsey theory (1984) (16)
On balanced signed graphs and consistent marked graphs (1999) (15)
Applications of Combinatorics and Graph Theory to the Biological and Social Sciences: Seven Fundamental Ideas (1989) (15)
Weighted Digraph Models for the Assessment of Energy Use and Air Pollution in Transportation Systems (1975) (15)
Tolerance geometry (1973) (15)
Efficient sequential decision‐making algorithms for container inspection operations (2011) (14)
INDIFFERENCE AND SERIATION (1979) (14)
On Luce's Theory of Meaningfulness (1980) (14)
Structural modeling and measurement theory (1979) (14)
How hard is it to determine if a graph has a 2‐role assignment? (2001) (13)
Sensor Management Problems of Nuclear Detection (2011) (13)
Discrete Mathematics in the Schools. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Volume 36. (1997) (13)
An Impossibility Result in Axiomatic Location Theory (1996) (13)
Competition graphs of semiorders and the conditions C(p) and C*(p) (2002) (13)
Applications of Discrete Mathematics (1988) (12)
The Challenges of Multidisciplinary Education in Computer Science (2011) (12)
Pulse processes on signed digraphs: a tool for analyzing energy demand (1972) (12)
ACCAM Global Optimization Model for the USCG Aviation Air Stations (2014) (12)
Phylogeny graphs of arbitrary digraphs (1996) (11)
Phylogeny numbers for graphs with two triangles (2000) (10)
Applications of the Theory of Meaningfulness to order and Matching Experiments (1984) (10)
Discrete and system models (1983) (10)
Applied combinatorics (2. ed.) (2005) (10)
Amenable Colorings (1997) (10)
Effects of change of scale on optimality in a scheduling model with priorities and earliness/tardiness penalties (1997) (9)
GRAPH-THEORETIC MODELS OF SPREAD AND COMPETITION (2004) (9)
Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences: Relations (1984) (9)
A Note on Fine's Axioms for Qualitative Probability (1973) (9)
Optimal I-Intersection assignments for graphs: A linear programming approach (1983) (9)
The questionnaire method (2015) (8)
The Introductory Mathematics Curriculum: Misleading, Outdated, and Unfair and Responses . (1984) (8)
A NEW CHARACTERIZATION OF PARTIAL ORDERS OF DIMENSION TWO (1970) (8)
Report on DIMACS Working Group Meeting: Mathematical Sciences Methods for the Study of Deliberate Re (2002) (8)
Some results on automorphisms of ordered relational systems and the theory of scale type in measurement (1985) (7)
Voting theory and preference modeling (2009) (7)
On the problem of consistent marking of a graph (1995) (7)
A Latent Source Model to Detect Multiple Spatial Clusters With Application in a Mobile Sensor Network for Surveillance of Nuclear Materials (2013) (7)
New Directions in Graph Theory (With an Emphasis on the Role of Applications) (1993) (7)
WEIGHTED DIGRAPH MODELS FOR ENERGY USE AND AIR POLLUTION IN TRANSPORTATION SYSTEMS (1974) (7)
CHAPTER SEVEN. Strategy for the Energy Crisis: The Case of Commuter Transportation Policy (2015) (7)
Mathematical Support for Molecular Biology (1999) (7)
Consensus list colorings of graphs and physical mapping of DNA (2001) (6)
TOPOFF 3: Comments and recommendations from members of the New Jersey Universities Consortium for Homeland Security Research (2006) (6)
Meaningless Statements, Matching Experiments, and Colored Digraphs (1989) (6)
From Football to Oil Rigs: Risk Assessment for Combined Cyber and Physical Attacks (2019) (6)
Tight and loose value automorphisms (1988) (6)
Van Lier sequences (1990) (5)
Meaningless statements (1997) (5)
Structural characterizations of stability of signed digraphs under pulse processes (1974) (5)
On the assessment of sustainability of distributed sociotechnical systems to natural disasters (2018) (5)
Experimental designs for testing metal detectors at a large sports stadium (2015) (4)
Measurement of Biodiversity: Richness and Evenness (2019) (4)
Modeling the Impact of Patron Screening at an NFL Stadium (2014) (4)
The Elimination Procedure for the Competition Number (1998) (3)
INTERSECTION GRAPHS OF FAMILIES OF CONVEX SETS WITH DISTINGUISHED POINTS (1969) (3)
STRUCTURE AND STABILITY IN WEIGHTED DIGRAPH MODELS * (1979) (3)
Issues in the Theory of Uniqueness in Measurement (1985) (3)
Algorithms for Port-of-Entry Inspection (2007) (3)
Elemantary Sequences, Sub-Fibonacci Sequences (1993) (3)
Computer science and decision theory: preface (2008) (3)
Annales du LAMSADE - Proceedings of the DIMACS –LAMSADE Workshop on Computer Science and Decision Theory Paris, 27–29 October 2004 (2004) (3)
Intelligence and Security Informatics: IEEE International Conference on Intelligence and Security Informatics, ISI 2005, Atlanta, GA, USA, May 19-20, 2005, ... (Lecture Notes in Computer Science) (2005) (3)
Meaningful and Meaningless Statements in Landscape Ecology and Environmental Sustainability (2014) (3)
How to Cure the Plague of Calculus (or Revisions in the Introductory Mathematics Curriculum) (1983) (3)
Reliability of computer and communication networks : proceedings of a DIMACS Workshop, December 2-4, 1989 (1991) (3)
Recent Progress in Mathematical Psychology : Psychophysics, Knowledge Representation, Cognition, and Measurement (2014) (3)
Introductory College Mathematics for the Life Sciences: Has Anything Changed? (2020) (3)
Optimal Orientations of Annular Networks (2000) (3)
Biomath in the schools (2011) (2)
An Application of Stahl's Conjecture About the k-Tuple Chromatic Numbers of Kneser Graphs (2009) (2)
Algorithmic Decision Theory: Second International Conference, ADT 2011, Piscataway, NJ, USA, October 26-28, 2011. Proceedings (2011) (2)
Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences: Foreword (1984) (2)
Optimal US coast guard boat allocations with sharing (2015) (2)
Greedy Algorithms in Economic Epidemiology (2010) (2)
Single Machine Scheduling with Earliness and Tardiness Penalties: When is an Optimal Solution Not Optimal? (1995) (2)
Special Issue on Mathematics and the Social and Biological Sciences (1975) (2)
The Meaningfulness of Ordinal Comparisons for General Order Relational Systems (1994) (2)
SOME APPLICATIONS OF GRAPH THEORY (2001) (2)
On the Theory of Meaningfulness of Ordinal Comparisons in Measurement: II a (1989) (2)
The ACCAM model: simulating aviation mission readiness for U.S. coast guard stations (2015) (2)
Efficiency of Energy Use in Obtaining Food, II: Animals (1983) (2)
NOTES ON COMBINATORIAL MATHEMATICS: A DERIVATION OF A MEASURE OF RELATIVE BALANCE FOR SIGNED DIGRAPHS AND A CHARACTERIZATION OF EXTENSIVE RATIO SYSTEMS, (1970) (2)
LAWS OF EXCHANGE AND THEIR APPLICATIONS (1974) (2)
An Integrated Two-Year Curriculum—Report of a Workshop (1983) (2)
On the use of augmenting chains in chain packings (1991) (2)
Report on DIMACS ⁄ Working Group on Data (2005) (1)
Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences: Measurement Theory (1984) (1)
The Role of Applications in Teaching Discrete Mathematics (1992) (1)
Time-perception and precognition: a resolution of the intervention paradox (1993) (1)
Annales du LAMSADE - Proceedings of the DIMACS –LAMSADE Workshop on Voting Theory And Preference Modelling Paris, 25–28 October 2006 (2006) (1)
A Method for Transferring Probabilistic User Models between Environments (2011) (1)
Some apparently non-cerebral aspects of consciousness (1991) (1)
The Port Reopening Scheduling Problem (2010) (1)
A functional equation that arises in problems of scheduling with priorities and lateness/earliness penalties (1995) (1)
Chapter 5 Robotics as an Enabler of Resiliency to Disasters: Promises and Pitfalls (2021) (1)
Proceedings of the Second international conference on Algorithmic decision theory (2009) (1)
Monitoring Message Streams : Algorithmic Methods for Automatic Processing of Messages April 27 , 2003 (2003) (1)
Comparing Parallel and Sequential Multinomial Models of Letter Identification (2014) (1)
Weighted Competition Graphs (2007) (1)
Malaria: Models of the Population Dynamics of the Malaria Parasite (1983) (1)
Estimating Violation Risk for Fisheries Regulations (2013) (1)
Intelligence and Security Informatics, IEEE International Conference on Intelligence and Security Informatics, ISI 2006, San Diego, CA, USA, May 23-24, 2006, Proceedings (2006) (1)
STRUCTURAL MODELS AND GRAPH THEORY (1981) (1)
Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences: Fundamental Measurement, Derived Measurement, and the Uniqueness Problem (1984) (0)
Applications to Psychophysical Scaling (1984) (0)
1 Sensor Management Problems of Nuclear Detection (2011) (0)
Introduction to Combinatorial Theory.@@@Applied Combinatorics.@@@Introductory Combinatorics. (1985) (0)
ENERGY MODELING: DEALING WITH ENERGY UNCERTAINTY. (1981) (0)
Graph Theory ... / Fred S. Roberts (1978) (0)
11. Qualitative Matrices (1978) (0)
Optimization and Artificial Intelligence. (1996) (0)
The Polya Theory of Counting (2009) (0)
Strategy-Proof Location Functions on Finite Graphs (2014) (0)
A RUTCOR Project in Discrete Applied Mathematics (1989) (0)
APPENDIX TWO. The Questionnaire Method (2015) (0)
Discrete, Stochastic, and Optimization Approaches to Problems of Networks and Scheduling. (1995) (0)
NO . 1891 R-528-ARPA SEPTEMBER 1970 WHAT IF UTILITY FUNCTIONS DO NOT EXIST ? (2013) (0)
iGroup Learning and iDetect for Dynamic Anomaly Detection with Applications in Maritime Threat Detection (2018) (0)
5. Food Webs, Niche Overlap Graphs, and the Boxicity of Ecological Phase Space (1978) (0)
Resilience in the Digital Age (2020) (0)
The missing factor in thinking super-computers (1990) (0)
2. The One-Way Street Problem (1978) (0)
Resilience Algorithms in Complex Networks (2020) (0)
Decision‐making using multi‐attributed alternatives: Raiffa's contributions in the context of 21st century decision problems (2006) (0)
Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences: Product Structures (1984) (0)
An extension of the «psychological factor» in Tyrrell's theory of apparitions (1990) (0)
Fred Roberts' Response (1984) (0)
4. Indifference, Measurement, and Seriation (1978) (0)
7. Independence and Domination (1978) (0)
The Contributions of F.R. McMorris to Discrete Mathematics and its Applications (2010) (0)
Highly efficient evaluation design (HEED) for comparing algorithms used to detect nuclear materials (2015) (0)
NEW JERSEY CITY UNIVERSITY CELEBRATES MATHEMATICS AWARENESS MONTH (2008) (0)
Discrete Methods and their Applications (1993) (0)
Applications of Graph Theory and System Theory to Large Scale Systems (1980) (0)
Dolgelly diatoms : a geological mystery / (1970) (0)
The Principle of Inclusion and Exclusion (2009) (0)
Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences: Subjective Probability (1984) (0)
Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences: Nontransitive Indifference, Probabilistic Consistency, and Measurement without Numbers (1984) (0)
Optimization Problems for Graphs and Networks (2009) (0)
Pulse Processes on Signed Digraphs (1972) (0)
Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences: Decisionmaking under Risk or Uncertainty (1984) (0)
A possible non-physiological basis for perception and a defence of dualism (1992) (0)
Correction Note: Correction to "A Note on Fine's Axioms for Qualitative Probability" (1974) (0)
Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences: Preface (1984) (0)
Working Groups in Data Analysis and Mining (2002) (0)
Basic Counting Rules (2009) (0)
Some implications of the voluntary control of visual perception (1989) (0)
Meaningful and meaningless statements using metrics for the border condition (2016) (0)
Annual Report Dimacs Project on Algorithms for Port of Entry Inspection (2005) (0)
9. Balance Theory and Social Inequalities (1978) (0)
Universal percpetion: a challenge to materialism (1993) (0)
Chapter 1 Resilience Algorithms in Complex Networks (2021) (0)
10. Pulse Processes and Their Applications (1978) (0)
Energy : mathematics and models : proceedings of a SIMS conference on energy, held at Alta, Utah, July 7-11, 1975 (1976) (0)
ISI 2007 Preface (2007) (0)
F. Roberts replies (1979) (0)
Chapter 7 Data Science and Resilience (2021) (0)
Generating Functions and Their Applications (2009) (0)
8. Applications of Eulerian Chains and Paths (1978) (0)
Variations on matchings (1989) (0)
Matching and Covering (2009) (0)
Abstracts from Synthese (1967) (0)
Acknowledgement (1994) (0)
3. Intersection Graphs (1978) (0)

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