黑料不打烊

Professor Peter Rowlinson

Emeritus Professor

Mathematics 黑料不打烊, 黑料不打烊, FK9 4LA

Professor Peter Rowlinson

Contact details

About me

BA (Oxford) 1966 MA, DPhil (Oxford) 1970

Lecturer in Mathematics at the 黑料不打烊 1969-92, Senior Lecturer 1992-94, Reader 1994-96, Personal Chair from September 1996, Emeritus Professor from September 2006.

Head of Mathematics and Deputy Head of Department 2002-06.

Visiting Associate Professor of Mathematics at the California Institute of Technology, 1975-76.

Secretary, British Combinatorial Committee, 1999-2013.

President, Edinburgh Mathematical Society, 2003-2005.

Spectral graph theory

Outputs (112)

Showing 100 of 112 — See all 112 outputs

Article

Rowlinson P & Stani? Z (2022) Signed graphs whose spectrum is bounded by ?2. Applied Mathematics and Computation, 423, Art. No.: 126991. https://doi.org/10.1016/j.amc.2022.126991


Article

Ramezani F, Rowlinson P & Stani? Z (2022) Signed graphs with at most three eigenvalues. Czechoslovak Mathematical Journal, 72 (1), pp. 59-77. https://doi.org/10.21136/cmj.2021.0256-20


Article

Cvetkovic D & Rowlinson P (2020) Slobodan Simi?: an appreciation. Discussiones Mathematicae Graph Theory, 40 (2), pp. 367-378. https://doi.org/10.7151/dmgt.2266


Article

Ramezani F, Rowlinson P & Stani? Z (2020) On eigenvalue multiplicity in signed graphs. Discrete Mathematics, 343 (10), Art. No.: 111982. https://doi.org/10.1016/j.disc.2020.111982


Article

Capaverde J & Rowlinson P (2017) Eigenvalue multiplicity in quartic graphs. Linear Algebra and Its Applications, 535, pp. 160-170. https://doi.org/10.1016/j.laa.2017.08.023


Article

Cvetkovic D, Rowlinson P & Simic S (2015) Graphs with least eigenvalue -2: ten years on. Linear Algebra and Its Applications, 484, pp. 504-539. https://doi.org/10.1016/j.laa.2015.06.012


Article

Rowlinson P (2014) Eigenvalue multiplicity in cubic graphs. Linear Algebra and Its Applications, 444, pp. 211-218. https://doi.org/10.1016/j.laa.2013.11.036


Article

Rowlinson P (2014) On independent star sets in finite graphs. Linear Algebra and Its Applications, 442, pp. 82-91. https://doi.org/10.1016/j.laa.2013.06.009


Article

Cvetkovic D, Rowlinson P, Stanic Z & Yoon M (2011) Controllable graphs. Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences Mathematiques, 143 (36), pp. 81-88. http://www.emis.de/journals/BSANU/36/6.html


Article

Cvetkovic D, Rowlinson P, Stanic Z & Yoon M (2011) Controllable graphs with least eigenvalue at least -2. Applicable Analysis and Discrete Mathematics, 5 (2), pp. 165-175. https://doi.org/10.2298/AADM110909022C


Authored Book

Cvetkovic D, Rowlinson P & Simic SK (2010) An Introduction to the Theory of Graph Spectra. London Mathematical Society Student Texts, 75. Cambridge: Cambridge University Press.


Article

Rowlinson P (2010) On multiple eigenvalues of trees. Linear Algebra and Its Applications, 432 (11), pp. 3007-3011. https://doi.org/10.1016/j.laa.2010.01.003


Article

Bell FK, Cvetkovic D, Rowlinson P & Simic SK (2008) Graphs for which the least eigenvalue is minimal, II. Linear Algebra and Its Applications, 429 (8-9), pp. 2168-2179. https://doi.org/10.1016/j.laa.2008.06.018


Article

Bell FK, Cvetkovic D, Rowlinson P & Simic SK (2008) Graphs for which the least eigenvalue is minimal, I. Linear Algebra and Its Applications, 429 (1), pp. 234-241. https://doi.org/10.1016/j.laa.2008.02.032


Article

Cvetkovic D, Rowlinson P & Simic SK (2007) Eigenvalue bounds for the signless laplacian. Publications de l'Institut Mathématique, 81 (95), pp. 11-27. http://elib.mi.sanu.ac.rs/files/journals/publ/101/n095p011.pdf


Article

Rowlinson P & Sciriha I (2007) Some properties of the Hoffman-Singleton graph. Applicable Analysis and Discrete Mathematics, 1 (2), pp. 438-445. https://doi.org/10.2298/AADM0702438R


Article

Rowlinson P (2007) The main eigenvalues of a graph: a survey. Applicable Analysis and Discrete Mathematics, 1 (2), pp. 455-471. https://doi.org/10.2298/AADM0702445R


Article

Cvetkovic D, Rowlinson P & Simic SK (2007) Signless Laplacians of finite graphs. Linear Algebra and Its Applications, 423 (1), pp. 155-171. https://doi.org/10.1016/j.laa.2007.01.009


Article

Cvetkovic D, Rowlinson P & Simic SK (2007) Star complements and exceptional graphs. Linear Algebra and Its Applications, 423 (1), pp. 146-154. https://doi.org/10.1016/j.laa.2007.01.008


Article

Rowlinson P (2004) Star complements and maximal exceptional graphs. Publications de l'Institut Mathématique, 76 (90), pp. 25-30. http://elib.mi.sanu.ac.rs/files/journals/publ/96/n090p025.pdf


Book Chapter

Cvetkovic D & Rowlinson P (2004) Spectral Graph Theory. In: Beineke L, Wilson R & Cameron P (eds.) Topics in Algebraic Graph Theory. Encyclopedia of Mathematics and its Applications, 102. Cambridge: Cambridge University Press, pp. 88-112. http://www.cambridge.org/co/academic/subjects/mathematics/discrete-mathematics-information-theory-and-coding/topics-algebraic-graph-theory


Authored Book

Cvetkovic D, Rowlinson P & Simic S (2004) Spectral Generalizations of Line Graphs. London Mathematical Society Lecture Note Series, 314. Cambridge: Cambridge University Press. http://www.cambridge.org/gb/academic/subjects/mathematics/logic-categories-and-sets/spectral-generalizations-line-graphs-graphs-least-eigenvalue-2


Article

Bell FK & Rowlinson P (2003) On the multiplicities of graph eigenvalues. Bulletin of the London Mathematical Society, 35 (3), pp. 401-408. https://doi.org/10.1112/S0024609303002030


Article

Rowlinson P (2002) Star complements in finite graphs: a survey. Rendiconti del Seminario Matematico di Messina Serie II, 8 (Supplemento), pp. 145-162. https://sites.google.com/site/seminariomatematicomessina/supplementootto


Article

Cvetkovic D, Lepovic M, Rowlinson P, Simic SK & Cvetkovic D (2002) The maximal exceptional graphs. Journal of Combinatorial Theory Series B, 86 (2), pp. 347-363. https://doi.org/10.1006/jctb.2002.2132


Article

Rowlinson P & Jackson P (2002) Star complements and switching in graphs. Linear Algebra and Its Applications, 356 (1-3), pp. 135-143. https://doi.org/10.1016/S0024-3795%2802%2900375-0


Article

Cvetkovic D, Rowlinson P & Simic SK (2001) The maximal exceptional graphs with maximal degree less than 28. Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences Mathematiques, CXXII (26), pp. 115-131. http://www.emis.ams.org/journals/BSANU/26/7.html


Article

Rowlinson P (2000) Star sets in regular graphs. Journal of Combinatorial Mathematics and Combinatorial Computing, 34 (1), pp. 3-22.


Article

Liu B & Rowlinson P (2000) Dominating properties of star complements. Publications de l'Institut Mathématique, 68 (82), pp. 46-52. http://www.emis.de/journals/PIMB/082/4.html


Conference Paper (published)

Rowlinson P (2000) Star sets and star complements in finite graphs: a spectral construction technique. In: Hansen P, Fowler P & Zheng M (eds.) Discrete Mathematical Chemistry. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 51. DIMACS Workshop on Discrete Mathematical Chemistry, Rutgers University, New Brunswick, NJ, 23.03.1998-25.03.1998. Providence, RI: American Mathematical Society, pp. 323-332. http://www.ams.org/bookstore?fn=20&arg1=mathcomb&ikey=DIMACS-51


Article

Rowlinson P & Bell FK (2000) Graph eigenspaces of small codimension. Discrete Mathematics, 220 (1-3), pp. 271-278. https://doi.org/10.1016/S0012-365X%2800%2900031-5


Conference Paper (published)

McKee JF, Rowlinson P & Smyth CJ (1999) Salem numbers and Pisot numbers from stars. In: Gyory K, Iwaniec H & Urbanowicz J (eds.) Number Theory in Progress: Proceedings of the 黑料不打烊 Conference on Number Theory organized by the Stefan Banach 黑料不打烊 Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997, Volume 1: Diophantine Problems and Polynomials. 黑料不打烊 Conference on Number Theory, Zakopane, Poland, 30.06.1997-09.07.1997. Berlin: Walter De Gruyter, pp. 309-319. http://www.degruyter.com/view/product/5136


Article

Cvetkovic D, Rowlinson P & Simic S (1999) Some characterizations of graphs by star complements. Linear Algebra and Its Applications, 301 (1-3), pp. 81-97. https://doi.org/10.1016/S0024-3795%2899%2900179-2


Article

Jackson P & Rowlinson P (1999) On graphs with complete bipartite star complements. Linear Algebra and Its Applications, 298 (1-3), pp. 9-20. https://doi.org/10.1016/S0024-3795%2899%2900135-4


Article

Cvetkovic D, Lepovic M, Rowlinson P & Simic S (1998) A database of star complements of graphs. Publikacije Elektrotehnickog fakulteta – Serija: Matematika, (9), pp. 103-112. http://pefmath2.etf.rs/files/118/879.pdf


Article

Rowlinson P (1998) On graphs with multiple eigenvalues. Linear Algebra and Its Applications, 283 (1-3), pp. 75-85. https://doi.org/10.1016/S0024-3795%2898%2910082-4


Authored Book

Cvetkovic D, Rowlinson P & Simic S (1997) Eigenspaces of Graphs. Encyclopedia of Mathematics and its Applications, 66. Cambridge: Cambridge University Press. http://www.cambridge.org/gb/academic/subjects/mathematics/discrete-mathematics-information-theory-and-coding/eigenspaces-graphs


Book Chapter

Rowlinson P (1997) Linear Algebra. In: Beineke L & Wilson R (eds.) Graph Connections: Relationships between Graph Theory and Other Areas of Mathematics. Oxford Lecture Series in Mathematics and Its Applications, 5. Oxford: Oxford University Press, pp. 86-99. http://ukcatalogue.oup.com/product/9780198514978.do


Edited Book

Rowlinson P (ed.) (1995) Surveys in Combinatorics 1995. London Mathematical Society Lecture Note Series, 218. Cambridge: Cambridge University Press. http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511662096


Article

Rowlinson P (1995) Star partitions and regularity in graphs. Linear Algebra and Its Applications, 226-228, pp. 247-265. https://doi.org/10.1016/0024-3795%2895%2993232-O


Article

Rowlinson P (1994) Dominating sets and eigenvalues of graphs. Bulletin of the London Mathematical Society, 26 (2), pp. 248-254. https://doi.org/10.1112/blms/26.3.248


Book Chapter

Rowlinson P (1993) Eutactic stars and graph spectra. In: Brualdi R, Friedland S & Klee V (eds.) Combinatorial and Graph-Theoretical Problems in Linear Algebra. The IMA Volumes in Mathematics and its Applications, 50. New York: Springer, pp. 153-164. http://link.springer.com/chapter/10.1007/978-1-4613-8354-3_6#


Article

Recaman B, Rowlinson P & Yang Y (1993) Some relatively sparse graphs with Hamiltonian cycles. Publikacije Elektrotehnickog fakulteta – Serija: Matematika, (4), pp. 99-100. http://pefmath2.etf.rs/files/113/807.pdf


Article

Cvetkovic D, Rowlinson P & Simic S (1993) A study of eigenspaces of graphs. Linear Algebra and Its Applications, 182, pp. 45-66. https://doi.org/10.1016/0024-3795%2893%2990491-6


Article

Rowlinson P (1991) Graph angles and isospectral molecules. Publikacije Elektrotehnickog fakulteta – Serija: Matematika, (2), pp. 61-66. http://pefmath2.etf.rs/files/111/777.pdf


Book Chapter

Rowlinson P (1991) Graph Perturbations. In: Keedwell A (ed.) Surveys in Combinatorics, 1991. London Mathematical Society Lecture Note Series, 166. Cambridge: Cambridge University Press, pp. 187-219. http://www.cambridge.org/gb/academic/subjects/mathematics/discrete-mathematics-information-theory-and-coding/surveys-combinatorics-1991


Article

Cvetkovic D & Rowlinson P (1990) The largest eigenvalue of a graph: a survey. Linear and Multilinear Algebra, 28 (1-2), pp. 3-33. https://doi.org/10.1080/03081089008818026


Article

Bell FK & Rowlinson P (1990) On the index of tricyclic hamiltonian graphs. Proceedings of the Edinburgh Mathematical Society, 33 (2), pp. 233-240. https://doi.org/10.1017/S0013091500018150


Article

Rowlinson P (1990) More on graph perturbations. Bulletin of the London Mathematical Society, 22 (3), pp. 209-216. https://doi.org/10.1112/blms/22.3.209


Conference Paper (published)

Cvetkovic D & Rowlinson P (1989) Seeking counterexamples to the reconstruction conjecture: a research note. In: Graph theory : proceedings of the Eighth Yugoslav Seminar on Graph Theory, Novi Sad, April 17-18, 1987. Eighth Yugoslav Seminar on Graph Theory, Novi Sad, Servia, 17.04.1987-18.04.1987. Novi Sad, Serbia: University of Novi Sad, Institute of Mathematics, pp. 52-62. http://trove.nla.gov.au/work/18071181?versionId=21209522


Article

Rowlinson P (1989) On Hamiltonian Graphs with Maximal Index. European Journal of Combinatorics, 10 (5), pp. 489-497. https://doi.org/10.1016/S0195-6698%2889%2980023-X


Article

Cvetkovic D & Rowlinson P (1988) Further properties of graph angles. Scientia, Series A - Mathematical Sciences, 1, pp. 41-51.


Article

Cvetkovic D & Rowlinson P (1988) On connected graphs with maximal index. Publications de l'Institut Mathématique, 44 (58), pp. 29-34. http://elib.mi.sanu.ac.rs/files/journals/publ/64/n058p029.pdf


Article

Rowlinson P (1988) On angles and perturbations of graphs. Bulletin of the London Mathematical Society, 20 (3), pp. 193-197. https://doi.org/10.1112/blms/20.3.193


Article

Cvetkovic D & Rowlinson P (1987) Spectra of unicyclic graphs. Graphs and Combinatorics, 3 (1), pp. 7-23. https://doi.org/10.1007/BF01788525


Article

Rowlinson P (1984) Simple eigenvalues of intransitive graphs. Bulletin of the London Mathematical Society, 16 (2), pp. 122-126. https://doi.org/10.1112/blms/16.2.122


See all 112 outputs