Kempton, Mark; Tolbert, John Isospectral reductions and quantum walks on graphs. (English) Zbl 07810299 Algebr. Comb. 7, No. 1, 225-243 (2024). MSC: 05C50 15A18 81P68 05C81 PDFBibTeX XMLCite \textit{M. Kempton} and \textit{J. Tolbert}, Algebr. Comb. 7, No. 1, 225--243 (2024; Zbl 07810299) Full Text: DOI arXiv
Dawkins, Aleyah; Gupta, Vishal; Kempton, Mark; Linz, William; Quail, Jeremy; Richman, Harry; Stier, Zachary A Ricci flow on graphs from effective resistance. arXiv:2403.01151 Preprint, arXiv:2403.01151 [math.CO] (2024). MSC: 05C10 53E20 05C22 53A70 53C21 94C15 BibTeX Cite \textit{A. Dawkins} et al., ``A Ricci flow on graphs from effective resistance'', Preprint, arXiv:2403.01151 [math.CO] (2024) Full Text: arXiv OA License
Dawkins, Aleyah; Gupta, Vishal; Kempton, Mark; Linz, William; Quail, Jeremy; Richman, Harry; Stier, Zachary Node resistance curvature in Cartesian graph products. arXiv:2403.01037 Preprint, arXiv:2403.01037 [math.CO] (2024). MSC: 05C99 05C81 BibTeX Cite \textit{A. Dawkins} et al., ``Node resistance curvature in Cartesian graph products'', Preprint, arXiv:2403.01037 [math.CO] (2024) Full Text: arXiv OA License
Howell, Christian; Kempton, Mark; Sandall, Kellon; Sinkovic, John Unicyclic graphs and the inertia of the squared distance matrix. (English) Zbl 07807932 Electron. J. Linear Algebra 39, 491-515 (2023). MSC: 05C50 05C12 05C05 15A18 PDFBibTeX XMLCite \textit{C. Howell} et al., Electron. J. Linear Algebra 39, 491--515 (2023; Zbl 07807932) Full Text: DOI arXiv
Abiad, Aida; Fallat, Shaun M.; Kempton, Mark; Levene, Rupert H.; Oblak, Polona; Šmigoc, Helena; Tait, Michael; Vander Meulen, Kevin N. Bordering of symmetric matrices and an application to the minimum number of distinct eigenvalues for the join of graphs. (English) Zbl 1526.05085 Linear Algebra Appl. 679, 104-126 (2023). MSC: 05C50 15A18 05C76 PDFBibTeX XMLCite \textit{A. Abiad} et al., Linear Algebra Appl. 679, 104--126 (2023; Zbl 1526.05085) Full Text: DOI arXiv
Breen, Jane; Faught, Nolan; Glover, Cory; Kempton, Mark; Knudson, Adam; Oveson, Alice Kemeny’s constant for nonbacktracking random walks. (English) Zbl 07751058 Random Struct. Algorithms 63, No. 2, 343-363 (2023). MSC: 05C81 05C40 05C50 60C05 PDFBibTeX XMLCite \textit{J. Breen} et al., Random Struct. Algorithms 63, No. 2, 343--363 (2023; Zbl 07751058) Full Text: DOI arXiv
Barrett, Wayne; Cameron, Thomas R.; Evans, Emily; Hall, H. Tracy; Kempton, Mark On the Laplacian spread of digraphs. (English) Zbl 1512.05151 Linear Algebra Appl. 664, 126-146 (2023). Reviewer: Wai-Kai Chen (Fremont) MSC: 05C20 05C50 05C75 15A18 15A60 52B20 PDFBibTeX XMLCite \textit{W. Barrett} et al., Linear Algebra Appl. 664, 126--146 (2023; Zbl 1512.05151) Full Text: DOI arXiv
Drazen, Whitney; Kempton, Mark; Lippner, Gabor Pretty good fractional revival via magnetic fields: theory and examples. arXiv:2311.18143 Preprint, arXiv:2311.18143 [math.CO] (2023). MSC: 05C50 81P45 BibTeX Cite \textit{W. Drazen} et al., ``Pretty good fractional revival via magnetic fields: theory and examples'', Preprint, arXiv:2311.18143 [math.CO] (2023) Full Text: arXiv OA License
Kim, Sooyeong; Madras, Neal; Chan, Ada; Kempton, Mark; Kirkland, Stephen; Knudson, Adam Bounds on Kemeny’s constant of a graph and the Nordhaus-Gaddum problem. arXiv:2309.05171 Preprint, arXiv:2309.05171 [math.CO] (2023). MSC: 05C09 60J10 05C81 05C50 05A19 BibTeX Cite \textit{S. Kim} et al., ``Bounds on Kemeny's constant of a graph and the Nordhaus-Gaddum problem'', Preprint, arXiv:2309.05171 [math.CO] (2023) Full Text: arXiv OA License
Jang, Jihyeug; Kempton, Mark; Kim, Sooyeong; Knudson, Adam; Madras, Neal; Song, Minho Kemeny’s constant and enumerating Braess edges in trees. arXiv:2309.02977 Preprint, arXiv:2309.02977 [math.CO] (2023). MSC: 05C81 05C50 05A16 05C05 60J10 BibTeX Cite \textit{J. Jang} et al., ``Kemeny's constant and enumerating Braess edges in trees'', Preprint, arXiv:2309.02977 [math.CO] (2023) Full Text: arXiv OA License
Ison, Nolan; Kempton, Mark; Kenter, Franklin Zero Forcing on 2-connected Outerplanar Graphs. arXiv:2308.11517 Preprint, arXiv:2308.11517 [math.CO] (2023). MSC: 05C57 05C10 05C50 05C40 BibTeX Cite \textit{N. Ison} et al., ``Zero Forcing on 2-connected Outerplanar Graphs'', Preprint, arXiv:2308.11517 [math.CO] (2023) Full Text: arXiv OA License
Faught, J. Nolan; Kempton, Mark; Knudson, Adam A Nordhaus-Gaddum type problem for the normalized Laplacian spectrum and graph Cheeger constant. arXiv:2304.01979 Preprint, arXiv:2304.01979 [math.CO] (2023). MSC: 05C50 15A18 BibTeX Cite \textit{J. N. Faught} et al., ``A Nordhaus-Gaddum type problem for the normalized Laplacian spectrum and graph Cheeger constant'', Preprint, arXiv:2304.01979 [math.CO] (2023) Full Text: arXiv OA License
Chan, Ada; Drazen, Whitney; Eisenberg, Or; Kempton, Mark; Lippner, Gabor Pretty good quantum fractional revival in paths and cycles. (English) Zbl 1521.81023 Algebr. Comb. 4, No. 6, 989-1004 (2022). MSC: 81P40 05E30 05C50 33C05 15A16 PDFBibTeX XMLCite \textit{A. Chan} et al., Algebr. Comb. 4, No. 6, 989--1004 (2022; Zbl 1521.81023) Full Text: DOI arXiv
Chan, Ada; Coutinho, Gabriel; Drazen, Whitney; Eisenberg, Or; Godsil, Chris; Kempton, Mark; Lippner, Gabor; Tamon, Christino; Zhan, Hanmeng Fundamentals of fractional revival in graphs. (English) Zbl 1500.05033 Linear Algebra Appl. 655, 129-158 (2022). MSC: 05C50 81P16 81Q35 PDFBibTeX XMLCite \textit{A. Chan} et al., Linear Algebra Appl. 655, 129--158 (2022; Zbl 1500.05033) Full Text: DOI arXiv
Barrett, Wayne; Evans, Emily; Hall, H. Tracy; Kempton, Mark New conjectures on algebraic connectivity and the Laplacian spread of graphs. (English) Zbl 1490.05154 Linear Algebra Appl. 648, 104-132 (2022). MSC: 05C50 05C40 15A18 PDFBibTeX XMLCite \textit{W. Barrett} et al., Linear Algebra Appl. 648, 104--132 (2022; Zbl 1490.05154) Full Text: DOI arXiv
Kempton, Mark; Münch, Florentin; Yau, Shing-Tung A homology vanishing theorem for graphs with positive curvature. (English) Zbl 1483.05069 Commun. Anal. Geom. 29, No. 6, 1449-1473 (2021). MSC: 05C20 53C20 53C21 57M15 55Q99 PDFBibTeX XMLCite \textit{M. Kempton} et al., Commun. Anal. Geom. 29, No. 6, 1449--1473 (2022; Zbl 1483.05069) Full Text: DOI
Faught, Nolan; Kempton, Mark; Knudson, Adam A 1-separation formula for the graph Kemeny constant and Braess edges. (English) Zbl 1481.05146 J. Math. Chem. 60, No. 1, 49-69 (2022). MSC: 05C81 05C40 05C12 60J10 PDFBibTeX XMLCite \textit{N. Faught} et al., J. Math. Chem. 60, No. 1, 49--69 (2022; Zbl 1481.05146) Full Text: DOI arXiv
Glover, Cory; Jones, Tyler; Kempton, Mark; Oveson, Alice Effects of Backtracking on PageRank. arXiv:2211.13353 Preprint, arXiv:2211.13353 [cs.SI] (2022). MSC: 05C85 05C82 05C50 BibTeX Cite \textit{C. Glover} et al., ``Effects of Backtracking on PageRank'', Preprint, arXiv:2211.13353 [cs.SI] (2022) Full Text: arXiv OA License
Aksoy, Sinan G.; Kempton, Mark; Young, Stephen J. Spectral threshold for extremal cyclic edge-connectivity. (English) Zbl 07435709 Graphs Comb. 37, No. 6, 2079-2093 (2021). MSC: 05C40 05C50 PDFBibTeX XMLCite \textit{S. G. Aksoy} et al., Graphs Comb. 37, No. 6, 2079--2093 (2021; Zbl 07435709) Full Text: DOI arXiv
Faught, Nolan; Kempton, Mark; Knudson, Adam Resistance distance, Kirchhoff index, and Kemeny’s constant in flower graphs. (English) Zbl 1474.92151 MATCH Commun. Math. Comput. Chem. 86, No. 2, 405-427 (2021). MSC: 92E10 05C92 05C09 PDFBibTeX XMLCite \textit{N. Faught} et al., MATCH Commun. Math. Comput. Chem. 86, No. 2, 405--427 (2021; Zbl 1474.92151) Full Text: arXiv Link
Glover, Cory; Kempton, Mark Some spectral properties of the non-backtracking matrix of a graph. (English) Zbl 1462.05223 Linear Algebra Appl. 618, 37-57 (2021). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{C. Glover} and \textit{M. Kempton}, Linear Algebra Appl. 618, 37--57 (2021; Zbl 1462.05223) Full Text: DOI arXiv
Kempton, Mark; Lippner, Gabor; Münch, Florentin Large scale Ricci curvature on graphs. (English) Zbl 1448.05053 Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 166, 16 p. (2020). MSC: 05C10 05C50 05C12 53C20 53C21 PDFBibTeX XMLCite \textit{M. Kempton} et al., Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 166, 16 p. (2020; Zbl 1448.05053) Full Text: DOI arXiv
Barrett, Wayne; Evans, Emily J.; Francis, Amanda E.; Kempton, Mark; Sinkovic, John Spanning 2-forests and resistance distance in 2-connected graphs. (English) Zbl 1443.05103 Discrete Appl. Math. 284, 341-352 (2020). MSC: 05C40 05C70 05C12 PDFBibTeX XMLCite \textit{W. Barrett} et al., Discrete Appl. Math. 284, 341--352 (2020; Zbl 1443.05103) Full Text: DOI arXiv
Kempton, Mark; Sinkovic, John; Smith, Dallas; Webb, Benjamin Characterizing cospectral vertices via isospectral reduction. (English) Zbl 1436.05061 Linear Algebra Appl. 594, 226-248 (2020). MSC: 05C50 05C75 15A18 15A29 PDFBibTeX XMLCite \textit{M. Kempton} et al., Linear Algebra Appl. 594, 226--248 (2020; Zbl 1436.05061) Full Text: DOI arXiv
Godsil, Chris; Guo, Krystal; Kempton, Mark; Lippner, Gabor; Münch, Florentin State transfer in strongly regular graphs with an edge perturbation. (English) Zbl 1433.05330 J. Comb. Theory, Ser. A 172, Article ID 105181, 27 p. (2020). MSC: 05E30 81P15 81S25 PDFBibTeX XMLCite \textit{C. Godsil} et al., J. Comb. Theory, Ser. A 172, Article ID 105181, 27 p. (2020; Zbl 1433.05330) Full Text: DOI arXiv
Eisenberg, Or; Kempton, Mark; Lippner, Gabor Pretty good quantum state transfer in asymmetric graphs via potential. (English) Zbl 1417.05172 Discrete Math. 342, No. 10, 2821-2833 (2019). MSC: 05C75 05C50 PDFBibTeX XMLCite \textit{O. Eisenberg} et al., Discrete Math. 342, No. 10, 2821--2833 (2019; Zbl 1417.05172) Full Text: DOI arXiv
Kempton, Mark A non-backtracking Pólya’s theorem. (English) Zbl 1378.05190 J. Comb. 9, No. 2, 327-343 (2018). MSC: 05C81 PDFBibTeX XMLCite \textit{M. Kempton}, J. Comb. 9, No. 2, 327--343 (2018; Zbl 1378.05190) Full Text: DOI arXiv
Kempton, Mark; Lippner, Gabor; Yau, Shing-Tung Pretty good quantum state transfer in symmetric spin networks via magnetic field. (English) Zbl 1382.81049 Quantum Inf. Process. 16, No. 9, Paper No. 210, 23 p. (2017). MSC: 81P45 78A25 PDFBibTeX XMLCite \textit{M. Kempton} et al., Quantum Inf. Process. 16, No. 9, Paper No. 210, 23 p. (2017; Zbl 1382.81049) Full Text: DOI
Kempton, Mark; Munch, Florentin; Yau, Shing-Tung Relationships between cycle spaces, gain graphs, graph coverings, fundamental groups, path homology, and graph curvature. arXiv:1710.01264 Preprint, arXiv:1710.01264 [math.CO] (2017). BibTeX Cite \textit{M. Kempton} et al., ``Relationships between cycle spaces, gain graphs, graph coverings, fundamental groups, path homology, and graph curvature'', Preprint, arXiv:1710.01264 [math.CO] (2017) Full Text: arXiv OA License
Kempton, Mark; Lippner, Gabor; Yau, Shing-Tung Pretty good state transfer in graphs with an involution. arXiv:1702.07000 Preprint, arXiv:1702.07000 [math.CO] (2017). MSC: 05C50 BibTeX Cite \textit{M. Kempton} et al., ``Pretty good state transfer in graphs with an involution'', Preprint, arXiv:1702.07000 [math.CO] (2017) Full Text: arXiv OA License
Hod, Rani; Huang, An; Kempton, Mark; Yau, Shing-Tung Strong embeddings and 2-isomorphism. (English) Zbl 1368.05104 ICCM Not. 4, No. 2, 5-13 (2016). MSC: 05C60 05C38 PDFBibTeX XMLCite \textit{R. Hod} et al., ICCM Not. 4, No. 2, 5--13 (2016; Zbl 1368.05104) Full Text: DOI Link
Kempton, Mark; Lippner, Gabor; Yau, Shing-Tung Perfect state transfer on graphs with a potential. arXiv:1611.02093 Preprint, arXiv:1611.02093 [math.CO] (2016). MSC: 05C50 BibTeX Cite \textit{M. Kempton} et al., ``Perfect state transfer on graphs with a potential'', Preprint, arXiv:1611.02093 [math.CO] (2016) Full Text: arXiv OA License
Kempton, Mark Non-backtracking random walks and a weighted Ihara’s theorem. arXiv:1603.05553 Preprint, arXiv:1603.05553 [math.CO] (2016). BibTeX Cite \textit{M. Kempton}, ``Non-backtracking random walks and a weighted Ihara's theorem'', Preprint, arXiv:1603.05553 [math.CO] (2016) Full Text: arXiv OA License
Chung, Fan; Kempton, Mark A local clustering algorithm for connection graphs. (English) Zbl 1461.05195 Internet Math. 11, No. 4-5, 333-351 (2015). MSC: 05C82 05C22 05C40 05C85 68M11 68R10 PDFBibTeX XMLCite \textit{F. Chung} and \textit{M. Kempton}, Internet Math. 11, No. 4--5, 333--351 (2015; Zbl 1461.05195) Full Text: DOI
Chung, Fan; Zhao, Wenbo; Kempton, Mark Ranking and sparsifying a connection graph. (English) Zbl 1461.05205 Internet Math. 10, No. 1-2, 87-115 (2014). MSC: 05C85 05C82 68M11 68R10 PDFBibTeX XMLCite \textit{F. Chung} et al., Internet Math. 10, No. 1--2, 87--115 (2014; Zbl 1461.05205) Full Text: DOI
Chung, Fan; Kempton, Mark A local clustering algorithm for connection graphs. (English) Zbl 1342.05158 Bonato, Anthony (ed.) et al., Algorithms and models for the web graph. 10th international workshop, WAW 2013, Cambridge, MA, USA, December 14–15, 2013. Proceedings. Berlin: Springer (ISBN 978-3-319-03535-2/pbk). Lecture Notes in Computer Science 8305, 26-43 (2013). MSC: 05C82 05C40 05C85 05C22 68M11 68R10 PDFBibTeX XMLCite \textit{F. Chung} and \textit{M. Kempton}, Lect. Notes Comput. Sci. 8305, 26--43 (2013; Zbl 1342.05158) Full Text: DOI
Barrett, Wayne; Kempton, Mark; Malloy, Nicole; Nelson, Curtis; Sexton, William; Sinkovic, John Decompositions of minimum rank matrices. (English) Zbl 1280.05076 Linear Algebra Appl. 438, No. 10, 3913-3948 (2013). MSC: 05C50 15A03 15B57 PDFBibTeX XMLCite \textit{W. Barrett} et al., Linear Algebra Appl. 438, No. 10, 3913--3948 (2013; Zbl 1280.05076) Full Text: DOI
Sinkovic, John; Kempton, Mark Minimum rank of outerplanar graphs. (English) Zbl 1241.05026 Linear Algebra Appl. 436, No. 9, 3701-3720 (2012). MSC: 05C10 05C50 15A03 15B57 PDFBibTeX XMLCite \textit{J. Sinkovic} and \textit{M. Kempton}, Linear Algebra Appl. 436, No. 9, 3701--3720 (2012; Zbl 1241.05026) Full Text: DOI
Barrett, Wayne; Gibelyou, Seth; Kempton, Mark; Malloy, Nicole; Nelson, Curtis; Sexton, William; Sinkovic, John The inverse eigenvalue and inertia problems for minimum rank two graphs. (English) Zbl 1227.05177 Electron. J. Linear Algebra 22, 389-418 (2011). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{W. Barrett} et al., Electron. J. Linear Algebra 22, 389--418 (2011; Zbl 1227.05177) Full Text: DOI EuDML EMIS