Results 1 to 10 of about 1,239,128 (324)

Critical exponent and blow-up rate for the omega-diffusion equations on graphs with Dirichlet boundary conditions

Electronic Journal of Differential Equations, 2014
In this article, we study the $\omega$-diffusion equation on a graph with Dirichlet boundary conditions $$\displaylines{ u_t(x,t)=\Delta_{\omega}u(x,t)+e^{\beta t}u^{p}(x,t), \quad (x,t)\in S\times(0,\infty), \cr u(x,t)=0, \quad (x,t)\in \partial S ...
Weican Zhou, Miaomiao Chen, Wenjun Liu
doaj  

The Number of Linear, Directed, Rooted, and Connected Graphs [PDF]

, 1955
Frank Harary
openalex   +1 more source

Total dominator chromatic number of some operations on a graph

Bulletin of Computational Applied Mathematics, 2018
Let G be a simple graph. A total dominator coloring of G is a proper coloring of the vertices of G in which each vertex of the graph is adjacent to every vertex of some color class.
Nima Ghanbari, Saeid Alikhani
doaj  

TWO THEOREMS IN GRAPH THEORY

, 1957
Claude Berge
openalex   +1 more source

Incidence Matrices and Linear Graphs [PDF]

, 1959
L. Auslander, Horace M. Trent
openalex   +1 more source

Word-Representability of Graphs with respect to Split Recomposition [PDF]

arXiv
In this work, we show that the class of word-representable graphs is closed under split recomposition and determine the representation number of the graph obtained by recomposing two word-representable graphs. Accordingly, we show that the class of parity graphs is word-representable.
arxiv  

Graphs quasi-isometric to graphs with bounded treewidth [PDF]

arXiv
In this paper, we characterise graphs that are quasi-isometric to graphs with bounded treewidth. Specifically, we prove that a graph is quasi-isometric to a graph with bounded treewidth if and only if it has a tree-decomposition where each bag consists of a bounded number of balls of bounded diameter.
arxiv  

Polar graphs of initial motions at an earthquake source [PDF]

, 1958
Markus Båth
openalex   +1 more source

Researches on Irritability of Plants . By J. C. Bose. London and New York, Longmans, Green and Co. 1913. Cloth, 15 x 23 cm. Pages xxiv + 376; 190 illustrations, largely graphs. Price $2.50. [PDF]

, 1914
Burton E. Livingston
openalex   +1 more source

COMBINATORIAL PROBLEMS IN THE THEORY OF GRAPHS. III

, 1956
Gillian Ford, G. E. Uhlenbeck
openalex   +1 more source