A Characterization of State Transfer on Double Subdivided Stars

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DC Field	Value	Language
dc.contributor.author	Mohapatra, Sarojini	-
dc.contributor.author	Pal, Hiranmoy	-
dc.date.accessioned	2024-02-01T11:54:59Z	-
dc.date.available	2024-02-01T11:54:59Z	-
dc.date.issued	2023-12	-
dc.identifier.citation	38th Annual Conference of Ramanujan Mathematical Society(RMS), IIT Guwahati, India, 22nd - 24th December 2023	en_US
dc.identifier.uri	http://hdl.handle.net/2080/4362	-
dc.description	Copyright belongs to proceeding publisher	en_US
dc.description.abstract	A subdivided star SK1,l is obtained by identifying exactly one pendant vertex from l copies of the path P3. This study is on the existence of quantum state transfer on double subdivided star Tl,m which is a pair of subdivided stars SK1,l and SK1,m joined by an edge to the respective coalescence vertices. Using the Galois group of the characteristic polynomial of Tl,m, we analyze the linear independence of its eigenvalues which uncovers no perfect state transfer in double subdivided stars when considering the adjacency matrix as the Hamiltonian of corresponding quantum system. Finally, we provide a complete characterization on double subdivided stars exhibiting pretty good state transfer	en_US
dc.subject	Spectra of graphs	en_US
dc.subject	Galois group	en_US
dc.subject	Perfect state transfer	en_US
dc.subject	Pretty good state transfer	en_US
dc.title	A Characterization of State Transfer on Double Subdivided Stars	en_US
dc.type	Presentation	en_US
Appears in Collections:	Conference Papers

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