Chromatic polynomials, Potts models and all that

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Chromatic Polynomials, Potts Models and All That

The q-state Potts model can be defined on an arbitrary finite graph, and its partition function encodes much important information about that graph, including its chromatic polynomial, flow polynomial and reliability polynomial. The complex zeros of the Potts partition function are of interest both to statistical mechanicians and to combinatorists. I give a pedagogical introduction to all these...

متن کامل

Ground State Entropy in Potts Antiferromagnets and Chromatic Polynomials

email: [email protected]. This research was supported in part by the NSF grant PHY-97-22101. Present address for S.-H. Tsai: Dept. of Physics and Astronomy, Univ. of Georgia, Athens, GA 30602. W is an analytic function of q except on a continuous locus B (B may be null, and there may also be isolated singularities of W ). As n → ∞, the locus B forms via coalescence of a subset of ...

متن کامل

Chromatic Harmonic Indices and Chromatic Harmonic Polynomials of Certain Graphs

In the main this paper introduces the concept of chromatic harmonic polynomials denoted, $H^chi(G,x)$ and chromatic harmonic indices denoted, $H^chi(G)$ of a graph $G$. The new concept is then applied to finding explicit formula for the minimum (maximum) chromatic harmonic polynomials and the minimum (maximum) chromatic harmonic index of certain graphs. It is also applied to split graphs and ce...

متن کامل

Chromatic polynomials of some nanostars

Let G be a simple graph and (G,) denotes the number of proper vertex colourings of G with at most  colours, which is for a fixed graph G , a polynomial in  , which is called the chromatic polynomial of G . Using the chromatic polynomial of some specific graphs, we obtain the chromatic polynomials of some nanostars.

متن کامل

Dichromatic polynomials and Potts models summed over rooted maps

We consider the sum of dichromatic polynomials over non-separable rooted planar maps, an interesting special case of which is the enumeration of such maps. We present some known results and derive new ones. The general problem is equivalent to the q-state Potts model randomized over such maps. Like the regular ferromagnetic lattice models, it has a first-order transition when q is greater than ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physica A: Statistical Mechanics and its Applications

سال: 2000

ISSN: 0378-4371

DOI: 10.1016/s0378-4371(99)00519-1