### Recent Submissions

• #### An Upper Bound on the Radius of a 3-Vertex-Connected C4-Free Graph ﻿

(HINDAWI, 2020-08-04)
Let G=(V,E) be a finite, connected, undirected graph with vertex set V and edge set E. -e distance dG (u,v) between two vertices u, v of G is the length of a shortest u-v path in G.-e eccentricity ec(v)of a vertex v∈V is ...
• #### Upper Bounds on the Diameter of Bipartite and Triangle-Free Graphs with Prescribed Edge Connectivity ﻿

(HINDAWI, 2020-09-03)
Graph theory is used to study the mathematical structures of pairwise relations among objects. Mathematically, a pair G=(V,E) is a crisp graph, where V is a nonempty set and E is a relation on V[1]. -e order of a graph G ...
• #### Spanning paths in graphs ﻿

(Elsevier, 2018-08-29)
The Conjecture, Graffiti.pc 190, of the computer program Graffiti.pc, instructed by DeLavi˜na, state that every simple connected graph G with minimum degree δ and leaf number L(G) such that δ ≥ 1 2 (L(G) + 1), is traceable. ...
• #### The Gutman Index and the Edge-Wiener Index of Graphs with given Vertex-Connectivity ﻿

(University of Zielona Góra, 2015-12-30)
The Gutman index and the edge-Wiener index have been extensively investigated particularly in the last decade. An important stream of re- search on graph indices is to bound indices in terms of the order and other parameters ...
• #### Application of citrus sinensis solid waste as a pseudo- catalyst for free cyanide conversion under alkaline conditions ﻿

(BioResources, 2013-05-08)
In this study, Citrus sinensis (C. sinensis) solid waste was used to catalyze the conversion of free cyanide (F-CN) under alkaline conditions; conditions which represent most industrial wastewater containing F-CN. Acid ...
• #### Unsteady contact melting of a rectangular cross section material on a flat plate. ﻿

(American Institute of Physics, 2008-10-06)
The work in this paper concerns a mathematical model of the contact melting process of a rectangular material in contact with a hot plate. The problem is described by a coupled system of heat equations in the solid and ...
• #### A Note on the Discrete Spectrum of Gaussian Wells (I): The Ground State Energy in One Dimension ﻿

(Hindawi Publishing Corporation, 2016-02-07)
The ground state energy 𝐸 0(𝜆) of 𝐻 𝜆 = − 𝑑 2 /𝑑𝑥 2 − 𝜆 𝑒 −𝑥2 is computed for small values of 𝜆 by means of an approximation of an integral operator in momentum space. Such an approximation leads to a transcendental ...
• #### Average distance and edge-connectivity I ﻿

(Society for Industrial and Applied Mathematics, 2015-01-15)
The average distance $\mu(G)$ of a connected graph G of order n is the average of the distances between all pairs of vertices of G. We prove that if G is a $\lambda$-edge-connected graph of order n, then the bounds \$\mu(G) ...
• #### Minimum degree, leaf number and traceability ﻿

(Institute of Mathematics of the Czech Academy of Sciences, 2013-03-26)
Let G be a finite connected graph with minimum degree δ. The leaf number L (G) of G is defined as the maximum number of leaf vertices contained in a spanning tree of G. We prove that if δ >12(L (G) + 1), then G is 2-connected. ...