By δ and wk denote the minimum degree and minimum degree-sum (weight) of a k-vertex path in a given graph, respectively. For every 3-polytope, w2 6 13 (Kotzig, 1955) and w3 6 21 (Ando, Iwasaki, Kaneko, 1993), where both bounds are sharp. For every 3-polytope with δ > 4, we have sharp bounds w2 6 11 (Lebesgue, 1940) and w3 6 17 (Borodin, 1997). Madaras (2000) proved that every triangulated 3-pol...

1521 The Rockefeller University Press $30.00 J. Cell Biol. Vol. 216 No. 6 1521–1523 https://doi.org/10.1083/jcb.201704114 Caspase-2 is a critical component of the cellular machinery designed to remove damaged cells, preventing disease. Consistent with a function in the apoptosis pathway, caspase-2, like caspase-3, is a tumor suppressor (Puccini et al., 2013). Although caspase-2 is required to i...

We consider the two-party quantum communication complexity of the bit version of the pointer chasing problem, originally studied by Klauck, Nayak, Ta-Shma and Zuckerman [KNTZ01]. We show that in any quantum protocol for this problem, the two players must exchange Ω( n k4 ) qubits. This improves the previous best bound of Ω( n 22 O(k) ) in [KNTZ01], and comes significantly closer to the best upp...

A. D. Gromko, A. V. Fedorov, Y.-D. Chuang, J. D. Koralek, Y. Aiura, Y. Yamaguchi, K. Oka, Yoichi Ando, and D. S. Dessau Department of Physics, University of Colorado, Boulder, Colorado 80309-0390, USA Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA National Institute for Advanced Industrial Science and Technology (AIST), AIST Tsukuba Central 2, 1-1-...

There has been considerable interest in studying inclusion regions for numerical ranges. It is in fact very useful in knowing inclusion regions for W (A). For example, it is well known (see [4, Chapter 1]) that W (A) ⊆ IR if and only if A = A∗; W (A) ⊆ [0,∞) if and only if A is positive semidefinite; andW (A) ⊆ (0,∞) if and only if A is positive definite. Moreover, Ando [1] (see also [2]) showe...

Shun Watanabe∗,1 Kazuya Ando∗ †,2, 3, 4 Keehoon Kang, Sebastian Mooser, Yana Vaynzof, Hidekazu Kurebayashi, 4 Eiji Saitoh, 5, 6, 7 and Henning Sirringhaus‡1 Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom Department of Applied Physics and Physico-Informatics, Keio University, Yokohama 223-8522, Japan Institute for Materials Research, Tohoku...

Yoichi Aso, ∗ Yuta Michimura, † Kentaro Somiya, ‡ Masaki Ando, 3 Osamu Miyakawa, Takanori Sekiguchi, Daisuke Tatsumi, and Hiroaki Yamamoto (The KAGRA Collaboration) Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, JAPAN Department of Physics, Tokyo Institute of Technology, 2-12-1, Ookayama, Meguro-ku, Tokyo, 152-8550, JAPAN National Astronomical Observatory o...

The question of which separable C*-algebras have abelian central sequence algebras was raised and studied by Phillips ([17]) Ando-Kirchberg ([2]). In this paper we give a complete answer to their question: A C*-algebra has algebra if only satisfies Fell's condition. contrast, show that any non-trivial extension compact operators not non-abelian but even residually type I algebra. particular its...