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## Farrell, Edward J.

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 Author ID: farrell.edward-j Published as: Farrell, E. J.; Farrell, Edward J.
 Documents Indexed: 110 Publications since 1962
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#### Co-Authors

 55 single-authored 15 Wahid, Shanaz Ansari 9 Grell, J. C. 9 Quintas, Louis V. 6 de Matas, C. M. 6 Gargano, Michael L. 4 Kennedy, John W. 3 Beezer, Robert A. 3 Whitehead, Earl Glen jun. 2 Gutman, Ivan M. 2 Hunte, Andrew A. 1 Constantine, Gregory M. 1 Riegsecker, J. E. 1 Sam Chee, M. A. 1 Smith, Bryan A.
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#### Serials

 16 International Journal of Mathematics and Mathematical Sciences 15 Bulletin of the Institute of Combinatorics and its Applications 11 Caribbean Journal of Mathematics 10 Discrete Mathematics 10 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 7 Journal of Combinatorics, Information & System Sciences 7 Utilitas Mathematica 5 Journal of the Franklin Institute 5 Ars Combinatoria 5 Match 2 Discrete Applied Mathematics 2 Journal of Combinatorial Theory. Series B 2 Pure & Applied Mathematika Sciences 1 Bulletin of the Australian Mathematical Society 1 Arkiv för Matematik 1 Canadian Mathematical Bulletin 1 The Fibonacci Quarterly 1 Indian Journal of Mathematics 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Tensor. New Series 1 Congressus Numerantium 1 Scientia. Series A: Mathematical Sciences. New Series 1 Journal of Mathematical Sciences
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#### Fields

 109 Combinatorics (05-XX) 6 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX)

#### Citations contained in zbMATH Open

53 Publications have been cited 255 times in 169 Documents Cited by Year
An introduction to matching polynomials. Zbl 0335.05131
Farrell, E. J.
1979
On chromatic coefficients. Zbl 0443.05041
Farrell, E. J.
1980
On a general class of graph polynomials. Zbl 0328.05006
Farrell, E. J.
1979
On matching coefficients. Zbl 0764.05074
Farrell, E. J.; Guo, J. M.; Constantine, G. M.
1991
Connections between the matching and chromatic polynomials. Zbl 0799.05053
Farrell, E. J.; Whitehead, Earl Glen jun.
1992
The matching polynomial of a regular graph. Zbl 0813.05049
Beezer, Robert A.; Farrell, E. J.
1995
Chromatic roots - some observations and conjectures. Zbl 0443.05040
Farrell, E. J.
1980
On a class of polynomials obtained from the circuits in a graph and its application to characteristic polynomials of graphs. Zbl 0401.05057
Farrell, E. J.
1979
Matchings in benzene chains. Zbl 0526.05048
Farrell, E. J.; Wahid, S. A.
1984
Permanents and determinants of graphs: A cycle polynomial approach. Zbl 0953.05043
Farrell, Edward J.; Kennedy, John W.; Quintas, Louis V.
2000
On a class of polynomials associated with the cliques in a graph and its applications. Zbl 0718.05043
Farrell, E. J.
1989
On graphical partitions and planarity. Zbl 0357.05046
Farrell, E. J.
1977
On star polynomials of complements of graphs. Zbl 0678.05005
Farrell, E. J.; de Matas, C. M.
1988
On the matching polynomials of graphs containing benzenoid chains. Zbl 0622.05053
Gutman, I.; Farrell, E. J.; Wahid, S. A.
1983
The circuit polynomial and its relation to other graph polynomials. Zbl 0541.05044
Farrell, E. J.; Grell, J. C.
1983
On matching and chromatic properties of circulants. Zbl 0747.05068
Farrell, E. J.; Whitehead, Earl Glen jun.
1990
On the characterizing properties of the circuit polynomial. Zbl 0880.05072
Farrell, E. J.; Guo, J. M.
1997
The impact of $$F$$-polynomials in graph theory. Zbl 0786.05064
Farrell, Edward J.
1993
On a class of polynomials associated with the stars of a graph and its application to node-disjoint decompositions of complete graphs and complete bipartite graphs into stars. Zbl 0396.05015
Farrell, E. J.
1979
Matchings in long benzene chains. Zbl 0583.05052
Farrell, E. J.; Wahid, S. A.
1985
Decompositions of some classes of trees into node disjoint paths. Zbl 0707.05049
Farrell, E. J.
1987
On star polynomials, graphical partitions and reconstruction. Zbl 0709.05024
Farrell, E. J.; de Matas, C. M.
1988
Matching polynomials: A matrix approach and its applications. Zbl 0608.05063
Farrell, E. J.; Wahid, S. A.
1986
Matchings in hexagonal cacti. Zbl 0625.05041
Farrell, E. J.
1987
Some general classes of comatching graphs. Zbl 0628.05058
Farrell, E. J.; Wahid, S. A.
1987
On a class of polynomials associated with the subgraphs of a graph and its application to chromatic and dichromatic polynomials. Zbl 0504.05057
Farrell, E. J.
1982
Path decompositions of chains and circuits. Zbl 0538.05043
Farrell, E. J.
1983
On a class of polynomials associated with the paths in a graph and its application to minimum nodes disjoint path coverings of graphs. Zbl 0543.05037
Farrell, E. J.
1983
An introduction to $$F$$-graphs, a graph-theoretic representation of natural numbers. Zbl 0753.05070
Farrell, E. J.
1992
$$D$$-graphs 1; an introduction to graphs whose matching polynomials are determinants of matrices. Zbl 0854.05072
Farrell, E. J.; Wahid, S. A.
1995
The matching polynomial of a distance-regular graph. Zbl 0947.05063
Beezer, Robert A.; Farrell, E. J.
2000
Farrell, E. J.
1978
The tree polynomial of a graph. Zbl 0427.05027
Farrell, E. J.
1979
The matching polynomial and its relation to the acyclic polynomial of a graph. Zbl 0446.05038
Farrell, E. J.
1980
Spanning trees in linear polygonal chains. Zbl 1049.05044
Farrell, Edward J.; Gargano, Michael L.; Quintas, L. V.
2003
On the characterizing properties of star polynomials. Zbl 0688.05065
Farrell, E. J.; De Matas, C. M.
1988
On the matching polynomial and its relation to the rook polynomial. Zbl 0718.05042
Farrell, E. J.
1988
On the reconstruction of the matching polynomial and the reconstruction conjecture. Zbl 0615.05045
Farrell, E. J.; Wahid, S. A.
1987
Counting matchings in graphs. Zbl 0625.05040
Farrell, E. J.
1987
On F-polynomials of thistles. Zbl 0625.05047
Farrell, E. J.
1987
Cycle decompositions of complete graphs. Zbl 0476.05047
Farrell, E. J.
1982
A generalization of the dichromatic polynomial of a graph. Zbl 0476.05071
Farrell, E. J.
1981
Decomposition of complete graphs and complete graphs into node disjoint paths. Zbl 0525.05033
Farrell, E. J.
1983
Graph permanent, determinant and cycle polynomials. Zbl 0910.05044
Farrell, Edward J.; Kennedy, John W.; Quintas, Louis V.
1998
A note on the characterization of thistles by their matching polynomials. Zbl 0747.05069
Farrell, E. J.; Wahid, S. A.
1990
Matching, rook and chromatic polynomials and chromatically vector equivalent graphs. Zbl 0783.05048
Farrell, E. J.; Whitehead, Earl Glen jun.
1991
On the derivative of the chromatic polynomial. Zbl 0961.05025
Farrell, E. J.
2000
Graphs with a minimum number of pairs of independent edges. I: Matching polynomials. Zbl 0865.05057
Beezer, R. A.; Riegsecker, J.; Smith, Bryan A.; Farrell, E. J.
1996
A graph-theoretic approach to rook theory. Zbl 0776.05085
Farrell, E. J.
1988
D-graphs. II: Constructions of D-graphs for some families of graphs with even cycles. Zbl 0938.05051
Farrell, E. J.; Wahid, S. A.
1999
Permanents of matrices: A graph cycle polynomial approach. Zbl 0951.15006
Farrell, Edward J.; Kennedy, John W.; Quintas, Louis V.
2000
A result on co-chromatic graphs. Zbl 0457.05031
Farrell, E. J.
1981
Tree polynomial of complete graphs and complete bipartite graphs. Zbl 0459.05032
Farrell, E. J.
1981
Spanning trees in linear polygonal chains. Zbl 1049.05044
Farrell, Edward J.; Gargano, Michael L.; Quintas, L. V.
2003
Permanents and determinants of graphs: A cycle polynomial approach. Zbl 0953.05043
Farrell, Edward J.; Kennedy, John W.; Quintas, Louis V.
2000
The matching polynomial of a distance-regular graph. Zbl 0947.05063
Beezer, Robert A.; Farrell, E. J.
2000
On the derivative of the chromatic polynomial. Zbl 0961.05025
Farrell, E. J.
2000
Permanents of matrices: A graph cycle polynomial approach. Zbl 0951.15006
Farrell, Edward J.; Kennedy, John W.; Quintas, Louis V.
2000
D-graphs. II: Constructions of D-graphs for some families of graphs with even cycles. Zbl 0938.05051
Farrell, E. J.; Wahid, S. A.
1999
Graph permanent, determinant and cycle polynomials. Zbl 0910.05044
Farrell, Edward J.; Kennedy, John W.; Quintas, Louis V.
1998
On the characterizing properties of the circuit polynomial. Zbl 0880.05072
Farrell, E. J.; Guo, J. M.
1997
Graphs with a minimum number of pairs of independent edges. I: Matching polynomials. Zbl 0865.05057
Beezer, R. A.; Riegsecker, J.; Smith, Bryan A.; Farrell, E. J.
1996
The matching polynomial of a regular graph. Zbl 0813.05049
Beezer, Robert A.; Farrell, E. J.
1995
$$D$$-graphs 1; an introduction to graphs whose matching polynomials are determinants of matrices. Zbl 0854.05072
Farrell, E. J.; Wahid, S. A.
1995
The impact of $$F$$-polynomials in graph theory. Zbl 0786.05064
Farrell, Edward J.
1993
Connections between the matching and chromatic polynomials. Zbl 0799.05053
Farrell, E. J.; Whitehead, Earl Glen jun.
1992
An introduction to $$F$$-graphs, a graph-theoretic representation of natural numbers. Zbl 0753.05070
Farrell, E. J.
1992
On matching coefficients. Zbl 0764.05074
Farrell, E. J.; Guo, J. M.; Constantine, G. M.
1991
Matching, rook and chromatic polynomials and chromatically vector equivalent graphs. Zbl 0783.05048
Farrell, E. J.; Whitehead, Earl Glen jun.
1991
On matching and chromatic properties of circulants. Zbl 0747.05068
Farrell, E. J.; Whitehead, Earl Glen jun.
1990
A note on the characterization of thistles by their matching polynomials. Zbl 0747.05069
Farrell, E. J.; Wahid, S. A.
1990
On a class of polynomials associated with the cliques in a graph and its applications. Zbl 0718.05043
Farrell, E. J.
1989
On star polynomials of complements of graphs. Zbl 0678.05005
Farrell, E. J.; de Matas, C. M.
1988
On star polynomials, graphical partitions and reconstruction. Zbl 0709.05024
Farrell, E. J.; de Matas, C. M.
1988
On the characterizing properties of star polynomials. Zbl 0688.05065
Farrell, E. J.; De Matas, C. M.
1988
On the matching polynomial and its relation to the rook polynomial. Zbl 0718.05042
Farrell, E. J.
1988
A graph-theoretic approach to rook theory. Zbl 0776.05085
Farrell, E. J.
1988
Decompositions of some classes of trees into node disjoint paths. Zbl 0707.05049
Farrell, E. J.
1987
Matchings in hexagonal cacti. Zbl 0625.05041
Farrell, E. J.
1987
Some general classes of comatching graphs. Zbl 0628.05058
Farrell, E. J.; Wahid, S. A.
1987
On the reconstruction of the matching polynomial and the reconstruction conjecture. Zbl 0615.05045
Farrell, E. J.; Wahid, S. A.
1987
Counting matchings in graphs. Zbl 0625.05040
Farrell, E. J.
1987
On F-polynomials of thistles. Zbl 0625.05047
Farrell, E. J.
1987
Matching polynomials: A matrix approach and its applications. Zbl 0608.05063
Farrell, E. J.; Wahid, S. A.
1986
Matchings in long benzene chains. Zbl 0583.05052
Farrell, E. J.; Wahid, S. A.
1985
Matchings in benzene chains. Zbl 0526.05048
Farrell, E. J.; Wahid, S. A.
1984
On the matching polynomials of graphs containing benzenoid chains. Zbl 0622.05053
Gutman, I.; Farrell, E. J.; Wahid, S. A.
1983
The circuit polynomial and its relation to other graph polynomials. Zbl 0541.05044
Farrell, E. J.; Grell, J. C.
1983
Path decompositions of chains and circuits. Zbl 0538.05043
Farrell, E. J.
1983
On a class of polynomials associated with the paths in a graph and its application to minimum nodes disjoint path coverings of graphs. Zbl 0543.05037
Farrell, E. J.
1983
Decomposition of complete graphs and complete graphs into node disjoint paths. Zbl 0525.05033
Farrell, E. J.
1983
On a class of polynomials associated with the subgraphs of a graph and its application to chromatic and dichromatic polynomials. Zbl 0504.05057
Farrell, E. J.
1982
Cycle decompositions of complete graphs. Zbl 0476.05047
Farrell, E. J.
1982
A generalization of the dichromatic polynomial of a graph. Zbl 0476.05071
Farrell, E. J.
1981
A result on co-chromatic graphs. Zbl 0457.05031
Farrell, E. J.
1981
Tree polynomial of complete graphs and complete bipartite graphs. Zbl 0459.05032
Farrell, E. J.
1981
On chromatic coefficients. Zbl 0443.05041
Farrell, E. J.
1980
Chromatic roots - some observations and conjectures. Zbl 0443.05040
Farrell, E. J.
1980
The matching polynomial and its relation to the acyclic polynomial of a graph. Zbl 0446.05038
Farrell, E. J.
1980
An introduction to matching polynomials. Zbl 0335.05131
Farrell, E. J.
1979
On a general class of graph polynomials. Zbl 0328.05006
Farrell, E. J.
1979
On a class of polynomials obtained from the circuits in a graph and its application to characteristic polynomials of graphs. Zbl 0401.05057
Farrell, E. J.
1979
On a class of polynomials associated with the stars of a graph and its application to node-disjoint decompositions of complete graphs and complete bipartite graphs into stars. Zbl 0396.05015
Farrell, E. J.
1979
The tree polynomial of a graph. Zbl 0427.05027
Farrell, E. J.
1979
Farrell, E. J.
1978
On graphical partitions and planarity. Zbl 0357.05046
Farrell, E. J.
1977
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#### Cited by 219 Authors

 15 Farrell, Edward J. 8 Zhang, Fuji 6 Gutman, Ivan M. 5 Chia, Gek-Ling 5 Zhang, Heping 4 Brown, Jason Ira 4 Drgas-Burchardt, Ewa 4 Koh, Khee Meng 4 Makowsky, Johann-Andreas 4 Rosenfeld, Vladimir Raphael 3 Carballosa, Walter 3 Diudea, Mircea V. 3 Giudici, Reinaldo E. 3 Klein, Douglas J. 3 Li, Nianzu 3 Li, Xueliang 3 Morgan, Kerri 3 Peng, Yee-Hock 3 Ren, Haizhen 3 Sigarreta Almira, José María 3 Teo, Kee Leong 3 Wahid, Shanaz Ansari 3 Yan, Weigen 2 Aslan, Ersin 2 Beezer, Robert A. 2 Berrizbeitia, Pedro 2 Borowiecki, Mieczysław 2 Chao, Chong-Yun 2 Chen, Xiaolin 2 Constantine, Gregory M. 2 Došlić, Tomislav 2 Feinsilver, Philip J. 2 Ghorbani, Modjtaba 2 Ji, Shengjin 2 Kotek, Tomer 2 Kurkcu, Omur Kivanc 2 Lau, Gee-Chon 2 Łazuka, Ewa 2 Li, Shuchao 2 Lian, Huishu 2 Liu, Jinfeng 2 Liu, Shunyi 2 Ma, Gang 2 Ma, Haicheng 2 McSorley, John P. 2 Olivera, Beatriz Carely Luna 2 Ramírez-Ibáñez, Marcelino 2 Rautenbach, Dieter 2 Ravve, Elena V. 2 Rodríguez García, José Manuel 2 Sezer, Mehmet 2 Torres-Nuñez, Yadira 2 Wagner, Stephan G. 2 Whitehead, Earl Glen jun. 2 Yeh, Yeong-Nan 2 Zhang, Hailiang 1 Ali, Usman 1 Alikhani, Saeid 1 Araujo, Oswaldo G. 1 Arizmendi, Octavio 1 Arvind, Vikraman 1 Ashrafi, Ali Reza 1 Aziz-Alaoui, Moulay-Ahmed 1 Babić, Darko 1 Bani-Asadi, Elaheh 1 Bapat, Ravindra Bhalchandra 1 Baranskij, V. A. 1 Basilio-Hernández, Ludwin A. 1 Bedrosian, Samuel D. 1 Behmaram, Afshin 1 Bian, Hong 1 Bohn, Adam 1 Borodin, Oleg Veniaminovich 1 Brešar, Boštjan 1 Broersma, Hajo J. 1 Brown, Lawrence David 1 Cao, Jinde 1 Carboni, Andrea Piga 1 Chen, Hanlin 1 Chen, Hua-Mei 1 Chen, Rongsi 1 Chen, Shubo 1 Chernyak, Arkady A. 1 Chernyak, Zhanna A. 1 Cigher, Simona 1 Colbourn, Charles J. 1 Cvetkovic, Dragos M. 1 Cyvin, Sven J. 1 da Fonseca, Carlos Martins 1 D’Antona, Ottavio M. 1 DasGupta, Anirban 1 de Matas, C. M. 1 De Wannemacker, Stefan A. G. 1 Delbourgo, Daniel 1 Delorme, Charles 1 Deng, Hanyuan 1 Dmitriev, Ivan Grigor’evich 1 Dong, Fengming 1 Doob, Michael 1 Drake, Dan ...and 119 more Authors
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#### Cited in 59 Serials

 46 Discrete Mathematics 25 Discrete Applied Mathematics 6 Journal of the Franklin Institute 6 Journal of Mathematical Chemistry 5 Graphs and Combinatorics 4 Applied Mathematics and Computation 4 Journal of Combinatorial Theory. Series A 4 Advances in Applied Mathematics 3 Information Processing Letters 3 Linear and Multilinear Algebra 3 Journal of Combinatorial Theory. Series B 3 Applied Mathematics Letters 2 Journal of Statistical Planning and Inference 2 Theoretical Computer Science 2 Annals of Pure and Applied Logic 2 Acta Mathematicae Applicatae Sinica. English Series 2 Linear Algebra and its Applications 2 Proceedings of the Steklov Institute of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computer and System Sciences 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Cybernetics 1 European Journal of Combinatorics 1 Applied Numerical Mathematics 1 SIAM Journal on Discrete Mathematics 1 Science in China. Series A 1 The Annals of Applied Probability 1 Aequationes Mathematicae 1 International Journal of Computer Mathematics 1 Journal of Knot Theory and its Ramifications 1 Combinatorics, Probability and Computing 1 Turkish Journal of Mathematics 1 Fractals 1 Complexity 1 Discussiones Mathematicae. Graph Theory 1 Journal of Inequalities and Applications 1 Mechanism and Machine Theory 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 AKCE International Journal of Graphs and Combinatorics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 The Journal of Prime Research in Mathematics 1 Ars Mathematica Contemporanea 1 International Journal of Combinatorics 1 Iranian Journal of Mathematical Chemistry 1 ISRN Discrete Mathematics 1 Mathematical Sciences 1 Topological Algebra and its Applications 1 Special Matrices 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
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#### Cited in 29 Fields

 161 Combinatorics (05-XX) 17 Biology and other natural sciences (92-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Computer science (68-XX) 3 Number theory (11-XX) 3 Manifolds and cell complexes (57-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX)