Ide, Yusuke; Komatsu, Takashi; Konno, Norio; Sato, Iwao Metzler/zeta correspondence. (English) Zbl 1515.05113 Discrete Math. 346, No. 8, Article ID 113418, 13 p. (2023). MSC: 05C50 05C20 11M41 81P45 PDFBibTeX XMLCite \textit{Y. Ide} et al., Discrete Math. 346, No. 8, Article ID 113418, 13 p. (2023; Zbl 1515.05113) Full Text: DOI arXiv
Komatsu, Takashi; Konno, Norio; Sato, Iwao A weighted alternating zeta function of a digraph. (English) Zbl 1505.05057 Linear Multilinear Algebra 70, No. 20, 5214-5236 (2022). MSC: 05C20 05C50 15A15 11M06 PDFBibTeX XMLCite \textit{T. Komatsu} et al., Linear Multilinear Algebra 70, No. 20, 5214--5236 (2022; Zbl 1505.05057) Full Text: DOI
Komatsu, Takashi; Konno, Norio; Sato, Iwao A Bartholdi alternating zeta function of a digraph. (English) Zbl 1503.05077 Yokohama Math. J. 67, 49-72 (2021). MSC: 05C50 15A15 05C20 11M41 PDFBibTeX XMLCite \textit{T. Komatsu} et al., Yokohama Math. J. 67, 49--72 (2021; Zbl 1503.05077) Full Text: DOI
Komatsu, Takashi; Konno, Norio; Sato, Iwao A zeta function with respect to non-backtracking alternating walks for a digraph. (English) Zbl 1462.05231 Linear Algebra Appl. 620, 344-367 (2021). MSC: 05C50 05C20 05C70 15A15 11M41 PDFBibTeX XMLCite \textit{T. Komatsu} et al., Linear Algebra Appl. 620, 344--367 (2021; Zbl 1462.05231) Full Text: DOI
Mitsuhashi, Hideo; Morita, Hideaki; Sato, Iwao A new generalized Bartholdi zeta function for a digraph. (English) Zbl 1461.05132 Linear Multilinear Algebra 69, No. 6, 1045-1060 (2021). MSC: 05C50 05C20 05C70 15A15 11M41 PDFBibTeX XMLCite \textit{H. Mitsuhashi} et al., Linear Multilinear Algebra 69, No. 6, 1045--1060 (2021; Zbl 1461.05132) Full Text: DOI
Sato, Iwao A new proof of a formula for the Bartholdi zeta function of a digraph. (English) Zbl 1342.05086 Graphs Comb. 32, No. 4, 1571-1583 (2016). MSC: 05C50 15A15 PDFBibTeX XMLCite \textit{I. Sato}, Graphs Comb. 32, No. 4, 1571--1583 (2016; Zbl 1342.05086) Full Text: DOI
Higuchi, Yusuke; Sato, Iwao A balanced signed digraph. (English) Zbl 1330.05080 Graphs Comb. 31, No. 6, 2215-2230 (2015). Reviewer: V. Lokesha (Bangalore) MSC: 05C22 05C20 05C40 05C70 11M99 PDFBibTeX XMLCite \textit{Y. Higuchi} and \textit{I. Sato}, Graphs Comb. 31, No. 6, 2215--2230 (2015; Zbl 1330.05080) Full Text: DOI
Sato, Iwao; Mitsuhasi, Hideo; Morita, Hideaki A new determinant expression for the weighted Bartholdi zeta function of a digraph. (English) Zbl 1266.05083 Electron. J. Comb. 20, No. 1, Research Paper P27, 17 p. (2013). MSC: 05C50 05C20 11M99 15A15 PDFBibTeX XMLCite \textit{I. Sato} et al., Electron. J. Comb. 20, No. 1, Research Paper P27, 17 p. (2013; Zbl 1266.05083) Full Text: Link
Mizuno, Hirobumi; Sato, Iwao Another proof of a formula for the weighted Bartholdi zeta function of a digraph. (English) Zbl 1252.05128 Far East J. Math. Sci. (FJMS) 53, No. 1, 81-100 (2011). MSC: 05C50 05C20 11M41 15A15 PDFBibTeX XMLCite \textit{H. Mizuno} and \textit{I. Sato}, Far East J. Math. Sci. (FJMS) 53, No. 1, 81--100 (2011; Zbl 1252.05128) Full Text: Link
Sato, Iwao New proofs for Levine’s theorems. (English) Zbl 1221.05241 Linear Algebra Appl. 435, No. 5, 943-952 (2011). MSC: 05C50 05C05 05C20 15A15 PDFBibTeX XMLCite \textit{I. Sato}, Linear Algebra Appl. 435, No. 5, 943--952 (2011; Zbl 1221.05241) Full Text: DOI
Sato, Iwao; Saito, Seiken On the weighted complexity of a group covering of a digraph. (English) Zbl 1208.05040 Far East J. Math. Sci. (FJMS) 42, No. 1, 127-142 (2010). MSC: 05C20 05C70 05C50 05C05 15A15 PDFBibTeX XMLCite \textit{I. Sato} and \textit{S. Saito}, Far East J. Math. Sci. (FJMS) 42, No. 1, 127--142 (2010; Zbl 1208.05040) Full Text: Link
Sato, Iwao Some proof of a formula for the weighted zeta function of a digraph. (English) Zbl 1223.05181 Far East J. Math. Sci. (FJMS) 36, No. 1, 73-87 (2010). MSC: 05C50 05C20 15A15 PDFBibTeX XMLCite \textit{I. Sato}, Far East J. Math. Sci. (FJMS) 36, No. 1, 73--87 (2010; Zbl 1223.05181) Full Text: Link
Mizuno, Hirobumi; Sato, Iwao A new Bartholdi zeta function of a digraph. III. (English) Zbl 1223.05099 Far East J. Math. Sci. (FJMS) 36, No. 1, 57-72 (2010). MSC: 05C20 05C50 05C25 05C10 15A15 PDFBibTeX XMLCite \textit{H. Mizuno} and \textit{I. Sato}, Far East J. Math. Sci. (FJMS) 36, No. 1, 57--72 (2010; Zbl 1223.05099) Full Text: Link
Mizuno, Hirobumi; Sato, Iwao A new Bartholdi zeta function of a digraph II. (English) Zbl 1177.05048 Discrete Math. 309, No. 10, 3197-3204 (2009). MSC: 05C20 05C50 11M41 PDFBibTeX XMLCite \textit{H. Mizuno} and \textit{I. Sato}, Discrete Math. 309, No. 10, 3197--3204 (2009; Zbl 1177.05048) Full Text: DOI
Sato, Iwao Some weighted zeta functions of digraphs. (English) Zbl 1168.05041 Adv. Appl. Discrete Math. 2, No. 1, 1-16 (2008). Reviewer: Josep M. Brunat (Barcelona) MSC: 05C50 05C20 05C25 11M41 15A15 PDFBibTeX XMLCite \textit{I. Sato}, Adv. Appl. Discrete Math. 2, No. 1, 1--16 (2008; Zbl 1168.05041) Full Text: Link
Sato, Iwao The stochastic weighted complexity of a group covering of a digraph. (English) Zbl 1144.05322 Linear Algebra Appl. 429, No. 8-9, 1905-1914 (2008). MSC: 05C50 05C05 15A15 PDFBibTeX XMLCite \textit{I. Sato}, Linear Algebra Appl. 429, No. 8--9, 1905--1914 (2008; Zbl 1144.05322) Full Text: DOI
Choe, Young-Bin; Kwak, Jin Ho; Park, Yong Sung; Sato, Iwao Bartholdi zeta and \(L\)-functions of weighted digraphs, their coverings and products. (English) Zbl 1118.05060 Adv. Math. 213, No. 2, 865-886 (2007). MSC: 05C50 05C20 05C25 15A15 PDFBibTeX XMLCite \textit{Y.-B. Choe} et al., Adv. Math. 213, No. 2, 865--886 (2007; Zbl 1118.05060) Full Text: DOI
Deng, Aiping; Sato, Iwao; Wu, Yaokun Homomorphisms, representations and characteristic polynomials of digraphs. (English) Zbl 1117.05079 Linear Algebra Appl. 423, No. 2-3, 386-407 (2007). MSC: 05C62 05E99 15A18 05C20 PDFBibTeX XMLCite \textit{A. Deng} et al., Linear Algebra Appl. 423, No. 2--3, 386--407 (2007; Zbl 1117.05079) Full Text: DOI
Sato, Iwao; Lee, Jaeun Isomorphisms of connected cyclic abelian covers of symmetric digraphs. (English) Zbl 1224.05231 Ars Comb. 80, 129-139 (2006). Reviewer: Jan Hora (Praha) MSC: 05C25 05C70 05C20 05C60 PDFBibTeX XMLCite \textit{I. Sato} and \textit{J. Lee}, Ars Comb. 80, 129--139 (2006; Zbl 1224.05231)
Sato, Iwao Bartholdi zeta functions of group coverings of digraphs. (English) Zbl 1104.05047 Far East J. Math. Sci. (FJMS) 18, No. 3, 321-339 (2005). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 05C50 15A15 11M38 PDFBibTeX XMLCite \textit{I. Sato}, Far East J. Math. Sci. (FJMS) 18, No. 3, 321--339 (2005; Zbl 1104.05047)
Sato, Iwao Lifts of automorphisms of symmetric digraphs associated with cyclic abelian covers. III. (English) Zbl 1067.05035 J. Comb. Math. Comb. Comput. 52, 3-16 (2005). MSC: 05C25 05C20 PDFBibTeX XMLCite \textit{I. Sato}, J. Comb. Math. Comb. Comput. 52, 3--16 (2005; Zbl 1067.05035)
Sato, Iwao Decomposition formulas of weighted zeta functions of graphs and digraphs. (English) Zbl 1055.05125 J. Comb. Math. Comb. Comput. 50, 149-157 (2004). MSC: 05C70 05C20 05C25 PDFBibTeX XMLCite \textit{I. Sato}, J. Comb. Math. Comb. Comput. 50, 149--157 (2004; Zbl 1055.05125)
Mizuno, Hirobumi; Sato, Iwao Bartholdi zeta functions of digraphs. (English) Zbl 1029.05098 Eur. J. Comb. 24, No. 8, 947-954 (2003). MSC: 05C50 05C20 11M41 PDFBibTeX XMLCite \textit{H. Mizuno} and \textit{I. Sato}, Eur. J. Comb. 24, No. 8, 947--954 (2003; Zbl 1029.05098) Full Text: DOI
Sato, Iwao Decomposition formulas of zeta functions of graphs and digraphs. (English) Zbl 1014.05054 Discrete Math. 263, No. 1-3, 305-309 (2003). MSC: 05C70 05C20 PDFBibTeX XMLCite \textit{I. Sato}, Discrete Math. 263, No. 1--3, 305--309 (2003; Zbl 1014.05054) Full Text: DOI
Mizuno, Hirobumi; Sato, Iwao Weighted zeta functions of digraphs. (English) Zbl 1015.05053 Linear Algebra Appl. 355, No. 1-3, 35-48 (2002). MSC: 05C50 05C20 11F72 15A15 05C25 11M41 PDFBibTeX XMLCite \textit{H. Mizuno} and \textit{I. Sato}, Linear Algebra Appl. 355, No. 1--3, 35--48 (2002; Zbl 1015.05053) Full Text: DOI
Sato, Iwao Decomposition formulas of zeta functions of graphs and digraphs. (English) Zbl 1005.05030 JP J. Algebra Number Theory Appl. 1, No. 3, 217-223 (2001). MSC: 05C50 11M41 05C25 15A15 PDFBibTeX XMLCite \textit{I. Sato}, JP J. Algebra Number Theory Appl. 1, No. 3, 217--223 (2001; Zbl 1005.05030)
Mizuno, Hirobumi; Sato, Iwao Zeta functions of digraphs. (English) Zbl 0990.05064 Linear Algebra Appl. 336, No. 1-3, 181-190 (2001). MSC: 05C20 11M41 05C50 15A15 05C25 PDFBibTeX XMLCite \textit{H. Mizuno} and \textit{I. Sato}, Linear Algebra Appl. 336, No. 1--3, 181--190 (2001; Zbl 0990.05064) Full Text: DOI
Sato, Iwao Lifts of automorphisms of symmetric digraphs associated with cyclic abelian covers. II. (English) Zbl 0976.05031 Far East J. Appl. Math. 5, No. 1, 27-44 (2001). MSC: 05C25 05C20 PDFBibTeX XMLCite \textit{I. Sato}, Far East J. Appl. Math. 5, No. 1, 27--44 (2001; Zbl 0976.05031)
Mizuno, Hirobumi; Sato, Iwao Isomorphisms of cyclic abelian covers of symmetric digraphs. (English) Zbl 0993.05080 Ars Comb. 54, 51-64 (2000). Reviewer: Zdeněk Ryjáček (Plzeň) MSC: 05C20 05C60 05C25 05C75 PDFBibTeX XMLCite \textit{H. Mizuno} and \textit{I. Sato}, Ars Comb. 54, 51--64 (2000; Zbl 0993.05080)
Sato, Iwao Lifts of automorphisms of symmetric digraphs associated with cyclic abelian covers. (English) Zbl 0954.05025 Far East J. Math. Sci. (FJMS) 2, No. 4, 517-538 (2000). MSC: 05C25 05C20 PDFBibTeX XMLCite \textit{I. Sato}, Far East J. Math. Sci. (FJMS) 2, No. 4, 517--538 (2000; Zbl 0954.05025)
Mizuno, Hirobumi; Sato, Iwao Isomorphisms of some cyclic abelian covers of symmetric digraphs. (English) Zbl 0947.05043 Yokohama Math. J. 47, Spec. Iss., 165-182 (1999). MSC: 05C25 05C20 05C10 05C30 PDFBibTeX XMLCite \textit{H. Mizuno} and \textit{I. Sato}, Yokohama Math. J. 47, 165--182 (1999; Zbl 0947.05043)
Sato, Iwao Graph covering and its generalization. (English) Zbl 0947.05026 Yokohama Math. J. 47, Spec. Iss., 67-88 (1999). MSC: 05C10 05C30 05C20 05C25 PDFBibTeX XMLCite \textit{I. Sato}, Yokohama Math. J. 47, 67--88 (1999; Zbl 0947.05026)
Sato, Iwao Isomorphisms of some graph coverings. (English) Zbl 0799.05048 Discrete Math. 128, No. 1-3, 317-326 (1994). Reviewer: P.Sekanina (Fairbanks) MSC: 05C70 05C25 PDFBibTeX XMLCite \textit{I. Sato}, Discrete Math. 128, No. 1--3, 317--326 (1994; Zbl 0799.05048) Full Text: DOI