[1]. Very well-covered graphs and local cohomology of their residue rings by the edge ideals Journal of Algebra 606/2 1-18 (2022) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] co-author [Author] Kyouko Kimura, Mohammad Reza Pournaki, Naoki Terai, Siamak Yassemi [DOI] [2]. The regularity and $h$-polynomial of Cameron--Walker graphs Enumerative Combinatorics and Applications 2/3 - S2R17 (2022) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] co-author [Author] Takayuki Hibi, Kyouko Kimura, Kazunori Matsuda, Adam Van Tuyl [URL] [DOI] [3]. A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra Research in the Mathematical Sciences 9/2 - 29 (2022) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] co-author [Author] Kyouko Kimura, Mohammad Reza Pournaki, Seyed Amin Seyed Fakhari, Naoki Terai, Siamak Yassemi [Notes] Section 5, Section 7 [DOI] [4]. Regularity and $a$-invariant of Cameron--Walker graphs Journal of Algebra 584/ 215-242 (2021) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Takayuki Hibi, Kyouko Kimura, Kazunori Matsuda, Akiyoshi Tsuchiya [URL] [DOI] [5]. Homological invariants of Cameron--Walker graphs Transactions of the American Mathematical Society 374/9 6559-6582 (2021) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] co-author [Author] Takayuki Hibi, Hiroju Kanno, Kyouko Kimura, Kazunori Matsuda, Adam Van Tuyl [URL] [DOI] [6]. Extremal Betti numbers of edge ideals Archiv der Mathematik 113/2 149-155 (2019) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Takayuki Hibi, Kyouko Kimura, Kazunori Matsuda [DOI] [7]. A necessary condition for an edge ring to satisfy Serre's condition $(S_2)$ Advanced Studies in Pure Mathematics 77/ 121-128 (2018) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Akihiro Higashitani, Kyouko Kimura [8]. The projective dimension of the edge ideal of a very well-covered graph Nagoya Mathematical Journal 230/ 160-179 (2018) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura, Naoki Terai, Siamak Yassemi [DOI] [9]. Stability of depths of symbolic powers of Stanley--Reisner ideals Journal of Algebra 473/ 307-323 (2017) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] co-author [Author] Le Tuan Hoa,Kyouko Kimura,Naoki Terai,Tran Nam Trung [DOI] [10]. Arithmetical rank of strings and cycles Journal of Commutative Algebra 9/1 89-106 (2017) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura,Paolo Mantero [URL] [11]. Dominating induced matchings of finite graphs and regularity of edge ideals Journal of Algebraic Combinatorics 43/1 173-198 (2016) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Takayuki Hibi,Akihiro Higashitani,Kyouko Kimura,Akiyoshi Tsuchiya [URL] [DOI] [12]. Non-vanishing of Betti numbers of edge ideals and complete bipartite subgraphs Communications in Algebra 44/2 710-730 (2016) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura [URL] [DOI] [13]. Arithmetical rank of a squarefree monomial ideal whose Alexander dual is of deviation two Acta Mathematica Vietnamica 40/3 375-391 (2015) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura,Naoki Terai,Ken-ichi Yoshida [DOI] [14]. Arithmetical rank of Gorenstein squarefree monomial ideals of height three Journal of Algebra 422/ 11-32 (2015) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura,Naoki Terai [DOI] [15]. Algebraic study on Cameron--Walker graphs Journal of Algebra 422/ 257-269 (2015) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] author [Author] Takayuki Hibi,Akihiro Higashitani,Kyouko Kimura,Augustine B. O'Keefe [URL] [DOI] [16]. Depth of initial ideals of normal edge rings Communications in Algebra 42/7 2908-2922 (2014) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] co-author [Author] Takayuki Hibi,Akihiro Higashitani,Kyouko Kimura,Augustine B. O'Keefe [URL] [DOI] [17]. Licci squarefree monomial ideals generated in degree two or with deviation two Journal of Algebra 390/ 264 - 289 (2013) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura,Naoki Terai,Ken-ichi Yoshida [DOI] [18]. Binomial arithmetical rank of edge ideals of forests PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 141/6 1925-1932 (2013) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura,Naoki Terai [DOI] [19]. Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four Communications in Algebra 40/11 4147-4170 (2012) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura,Giancarlo Rinaldo,Naoki Terai [URL] [DOI] [20]. Non-vanishingness of Betti numbers of edge ideals Harmony of Groebner Bases and the Modern Industrial Society---The Second CREST--SBM International Conference / 153-168 (2012) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura [URL] [DOI] [21]. Depth of edge rings arising from finite graphs PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 139/11 3807-3813 (2011) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] author [Author] Takayuki Hibi,Akihiro Higashitani,Kyouko Kimura,Augustine B. O'Keefe [URL] [DOI] [22]. On the depth of edge rings 1769/ 83-89 (2011) [Refereed] non-refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] author [Author] 日比 孝之,東谷 章弘,木村 杏子,Augustine B. O'Keefe [23]. Schmitt-Vogel type lemma for reductions ARCHIV DER MATHEMATIK 96/6 535-545 (2011) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura,Naoki Terai,Ken-ichi Yoshida [URL] [DOI] [24]. Arithmetical rank of Cohen-Macaulay squarefree monomial ideals of height two Journal of Commutative Algebra 3/1 31-46 (2011) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura [URL] [DOI] [25]. Arithmetical rank of squarefree monomial ideals of height two whose quotient rings are Cohen-Macaulay 1721/ 88-94 (2010) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] 木村 杏子 [26]. Betti numbers of chordal graphs and f-vectors of simplicial complexes JOURNAL OF ALGEBRA 323/6 1678-1689 (2010) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Takayuki Hibi,Kyouko Kimura,Satoshi Murai [URL] [DOI] [27]. Arithmetical rank of monomial ideals of deviation two Contemporary Mathematics 502/ 73-112 (2009) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura,Naoki Terai,Ken-ichi Yoshida [DOI] [28]. Lyubeznik resolutions and the arithmetical rank of monomial ideals PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 137/11 3627-3635 (2009) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Kyouko Kimura [DOI] [29]. A new upper bound for the arithmetical rank of monomial ideals 1655/ 5-10 (2009) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] 木村 杏子 [30]. Arithmetical rank of squarefree monomial ideals of small arithmetic degree JOURNAL OF ALGEBRAIC COMBINATORICS 29/3 389-404 (2009) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Kyouko Kimura,Naoki Terai,Ken-ichi Yoshida [DOI] [31]. A note on Schmitt-Vogel lemma 1604/ 125-130 (2008) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] 木村 杏子,寺井 直樹,吉田 健一 [32]. Arithmetical rank of squarefree monomial ideals 1562/ 104-113 (2007) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] 木村 杏子,寺井 直樹,吉田 健一 |