我要吃瓜

Professor Peter Rowlinson

Emeritus Professor

Mathematics 我要吃瓜, Stirling, FK9 4LA

Professor Peter Rowlinson

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我要吃瓜 me

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

Lecturer in Mathematics at the 我要吃瓜 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

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

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 (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) 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

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

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 International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997, Volume 1: Diophantine Problems and Polynomials. International 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