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ESTIMATES OF THE ZEROS OF SOME COUNTING POLYNOMIALS

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2021; 16 (1)

In this work we study the zeros of the Eulerian and Bell polynomials and their generalizations. More concretely, lower estimates for the leftmost zero......

DIRECT AND INVERSE PROBLEMS FOR RESTRICTED SIGNED SUMSETS IN INTEGERS

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2021; 16 (1)

Let A = {a(0,) a(1), ..., a(k-1)} be a nonempty finite subset of an additive abelian group G. For a positive integer h (<= k), we let h((+/-) over ......

A NEIGHBORHOOD CONDITION FOR GRAPHS TO HAVE RESTRICTED FRACTIONAL (g, f)-FACTORS

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2021; 16 (1)

Let h be a function defined on E(G) with h(e) is an element of [0, 1] for any e is an element of E(G). Set d(G)(h)(x) = Sigma(e(sic)x) h(e). If g(x) &......

A METHOD TO DETERMINE ALGEBRAICALLY INTEGRAL CAYLEY DIGRAPHS ON FINITE ABELIAN

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2020; 15 (2)

Researchers in the past have studied eigenvalues of Cayley digraphs or graphs. We are interested in characterizing Cayley digraphs on a finite commuta......

THE 2-TUPLE DOMINATING INDEPENDENT NUMBER OF A RANDOM GRAPH

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2020; 15 (2)

In this note, we show that 2-tuple dominating independent number of the Erdos-Renyi graph G(n,p) a.a.s. has a two-point concentration when p is a cons......

TRIPLE PRODUCT SUMS OF CATALAN TRIANGLE NUMBERS

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2020; 15 (2)

By means of quadratic transformations for the well-poised hypergeometric series, several reduction and transformation formulae are derived for the tri......

PROOF OF A CONJECTURE OF Z. W. SUN

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2019; 14 (1)

Recently, Sun defined a new sequence a(n) = Sigma(n)(k=0) ((n)(2k)) ((2k)(k)) 1/2k-1, which can be viewed as an analogue of the Motzkin numbers. Sun c......

JIF:0.42

ON THE ILLUMINATION OF A CLASS OF CONVEX BODIES

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2019; 14 (1)

We study Boltyanski's illumination problem (or Hadwiger's covering problem) for the class of convex bodies in R-n consisting of convex hulls of a pair......

JIF:0.42

SUN TOUGHNESS AND P->= 3-FACTORS IN GRAPHS

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2019; 14 (1)

A P->= n-factor means a path factor with each component having at least n vertices, where n >= 2 is an integer. A graph G is called a P->= n-......

JIF:0.42

FEEDBACK VERTEX NUMBER OF SIERPINSKI-TYPE GRAPHS

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2019; 14 (1)

The feedback vertex number tau(G) of a graph G is the minimum number of vertices that can be deleted from G such that the resultant graph does not con......

JIF:0.42

NEW PARITY RESULTS OF SUMS OF PARTITIONS AND SQUARES IN ARITHMETIC PROGRESSIONS

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2019; 14 (1)

Recently, Ballantine and Merca proved that if (a, b) is an element of {(6, 8), (8,12), (12,24), (15,40), (16,48), (20,120), (21,168)}, then Sigma(ak+1......

JIF:0.42

ON THE 2-ADIC BEHAVIOR OF THE NUMBER OF DOMINO TILINGS ON A TORUS

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2019; 14 (1)

We study the 2-adic behavior of the number of domino tilings of a 2(2n + 1) x 2(2n + 1) torus. We show that this number is of the form 2(4n+2) g(n)(2)......

JIF:0.42

SUFFICIENT CONDITIONS FOR CERTAIN STRUCTURAL PROPERTIES OF GRAPHS BASED ON WIENER-TYPE INDICES

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2017; 11 (2)

Let G = (V, E) be a simple connected graph with vertex set V and edge set E. The Wiener-type invariants of G = (V, E) can be expressed in terms of the......

JIF:0.35

CONGRUENCES MODULO POWERS OF 2 AND 3 FOR A RESTRICTED BINARY PARTITION FUNCTION A LA ANDREWS AND LEWIS

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2017; 12 (1)

Let W(n) denote the number of partitions of n into powers of 2 such that for all i >= 0, 2(2i) and 2(2i+1) cannot both be parts of a particular par......

JIF:0.35

ON THE TOTAL SIGNED DOMINATION NUMBER OF THE CARTESIAN PRODUCT OF PATHS

期刊: CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2017; 12 (2)

Let G be a finite connected simple graph with a vertex set V (G) and an edge set E(G). A total signed dominating function of G is a function f : V (G)......

JIF:0.35

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