We extend the notion of a potentially H-graphic sequence as follows. Let A and B be nonnegative integer sequences. The sequence pair S = (A,B) is said to be bigraphic if there is some bipartite graph G = (X ∪ Y, E) such that A and B are the degrees of the vertices in X and Y , respectively. If S is a bigraphic pair, let σ(S) denote the sum of the terms in A. Given a bigraphic pair S, and a fixe...

the set of all non-increasing non-negative integer sequences $pi=(d_1‎, ‎d_2,ldots,d_n)$ is denoted by $ns_n$‎. ‎a sequence $piin ns_{n}$ is said to be graphic if it is the degree sequence of a simple graph $g$ on $n$ vertices‎, ‎and such a graph $g$ is called a realization of $pi$‎. ‎the set of all graphic sequences in $ns_{n}$ is denoted by $gs_{n}$‎. ‎the complete product split graph on $l‎ ...

An in vitro experiment was conducted to determine the effect of supplemental non-fiber carbohydrate(NFC) on the disappearance kinetics of cellulose (Ce) by mixed ruminal microorganisms. Non-supplementedor NFC supplemented cellulose (467 mg NFC/g cellulose as sucrose (CeSu) or starch (CeSt) or a 1:1 mixtureof sucrose + starch (CeSuSt)) were incubated for 24, 48, and 96 h at 39°C. After each incu...

The options premiums are frequently used to obtain probability density functions (pdfs) for the prices of the underlying assets. When these assets are bank deposits or notional Government bonds it is possible to compute probability measures of future interest rates. Recently, in the literature there have been many papers presenting methods of how to estimate pdfs from options premiums. Neverthe...

an in vitro experiment was conducted to determine the effect of supplemental non-fiber carbohydrate(nfc) on the disappearance kinetics of cellulose (ce) by mixed ruminal microorganisms. non-supplementedor nfc supplemented cellulose (467 mg nfc/g cellulose as sucrose (cesu) or starch (cest) or a 1:1 mixtureof sucrose + starch (cesust)) were incubated for 24, 48, and 96 h at 39°c. after each incu...