On the Uniqueness of Balanced Minimum Evolution
نویسنده
چکیده
Minimum evolution is a class of parsimonious distance-based phylogenetic reconstruction methods. One noteworthy example is balanced minimum evolution (BME), which is the theoretical underpinning of the neighbor-joining algorithm. The robustness of a minimum evolution method can be captured in part by a statistic known as its L∞ radius. BME is known to have L∞ radius 1 2 , the best possible. We show that BME is in fact the only minimum evolution method with radius 1 2 . 0.
منابع مشابه
Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces
This paper deals with the Periodic boundary value problems for Controlled nonlinear impulsive evolution equations. By using the theory of semigroup and fixed point methods, some conditions ensuring the existence and uniqueness. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.
متن کاملOn time-dependent neutral stochastic evolution equations with a fractional Brownian motion and infinite delays
In this paper, we consider a class of time-dependent neutral stochastic evolution equations with the infinite delay and a fractional Brownian motion in a Hilbert space. We establish the existence and uniqueness of mild solutions for these equations under non-Lipschitz conditions with Lipschitz conditions being considered as a special case. An example is provided to illustrate the theory
متن کاملUnconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation
In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the order of O(τ2 + h2). Furthermore we show the existence and uniqueness of numerical solutions. Comparing the numerical results with other methods in...
متن کاملStochastic evolution equations with multiplicative Poisson noise and monotone nonlinearity
Semilinear stochastic evolution equations with multiplicative Poisson noise and monotone nonlinear drift in Hilbert spaces are considered. The coefficients are assumed to have linear growth. We do not impose coercivity conditions on coefficients. A novel method of proof for establishing existence and uniqueness of the mild solution is proposed. Examples on stochastic partial differentia...
متن کاملSolving fractional evolution problem in Colombeau algebra by mean generalized fixed point
The present paper is devoted to the existence and uniqueness result of the fractional evolution equation $D^{q}_c u(t)=g(t,u(t))=Au(t)+f(t)$ for the real $qin (0,1)$ with the initial value $u(0)=u_{0}intilde{R}$, where $tilde{R}$ is the set of all generalized real numbers and $A$ is an operator defined from $mathcal G$ into itself. Here the Caputo fractional derivative $D^{q}_c$ is used i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011