期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 97 ()
Let A be a set of positive integers and P(A) be the set of all integers which are the finite sum of distinct terms of A. For given positive integers u......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 97 ()
In this paper, we study the order of a maximal clique in an amply regular graph with a fixed smallest eigenvalue by considering a vertex that is adjac......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 94 ()
The entire chromatic number chi(vef)(G) of a plane graph G is the least number of colors such that any two adjacent or incident elements in V(G) boole......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 96 ()
For a given graph H, the Ramsey number r(H) is the minimum N such that any 2-edge-coloring of the complete graph K-N yields a monochromatic copy of H.......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 96 ()
It is conjectured by Berge and Fulkerson that every bridgeless cubic graph has six perfect matchings such that each edge is contained in exactly two o......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 93 ()
In this paper, all graphs are assumed to be finite. Let s >= 1 be an integer. A graph is called s-CSH (s-connected-set-homogeneous) if for every pa......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 93 ()
Recently, Yan and the first author investigated systematically the enumeration of inversion or ascent sequences avoiding vincular patterns of length 3......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 93 ()
An r-uniform hypergraph is linear if every two edges intersect in at most one vertex. Given a family of r-uniform hypergraphs F, the linear Turan numb......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 94 ()
Let N be the set of all nonnegative integers. For S subset of N and n is an element of N, let R-S (n) denote the number of solutions of the equation n......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 97 ()
The Jacobian elliptic function sn(u, k) is the inverse of the elliptic integral of the first kind and cn(u, k) = root 1 - sn(2)(u, k). In this paper, ......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 95 ()
In a proper edge-coloring of a cubic graph, an edge e is normal if the set of colors used by the five edges incident with an end of e has cardinality ......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 96 ()
It is shown that each subgroup of odd index in an alternating group of degree at least 10 has all insoluble composition factors to be alternating. A c......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 98 ()
Let p be an odd prime. From a simple undirected graph G, through the classical procedures of Baer (1938), Tutte (1947) and Lovasz (1989), there is a p......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 93 ()
In this paper, we study some Euler-Apery-type series which involve central binomial coefficients and (generalized) harmonic numbers. In particular, we......
期刊： EUROPEAN JOURNAL OF COMBINATORICS, 2021; 95 ()
Nikiforov (2002) showed that if G is Kr+1-free then the spectral radius rho(G) <= root 2m(1 - 1/r), which implies that G contains C-3 if rho(G) >......
