Results 31 to 40 of about 732,643 (255)
On Transmission Irregular Cubic Graphs of an Arbitrary Order
The transmission of a vertex v of a graph G is the sum of distances from v to all the other vertices of G. A transmission irregular graph (TI graph) has mutually distinct vertex transmissions.
Anatoly Yu. Bezhaev, Andrey A. Dobrynin
doaj +1 more source
On infinite outerplanar graphs [PDF]
summary:In this Note, we study infinite graphs with locally finite outerplane embeddings, given a characterization by forbidden ...
Boza, L. +6 more
core +1 more source
Some spectral comparison results on infinite quantum graphs [PDF]
In this paper we establish spectral comparison results for Schrödinger operators on a certain class of infinite quantum graphs, using recent results obtained in the finite setting.
Bifulco, Patrizio, Kerner, Joachim
core +1 more source
An introduction of F-graphs, a graph-theoretic representation of natural numbers
A special type of family graphs (F-graphs, for brevity) are introduced. These are cactus-type graphs which form infinite families under an attachment operation. Some of the characterizing properties of F-graphs are discussed.
E. J. Farrell
doaj +1 more source
On external presentations of infinite graphs [PDF]
The vertices of a finite state system are usually a subset of the natural numbers. Most algorithms relative to these systems only use this fact to select vertices.
Christophe Morvan
doaj +1 more source
Arithmetically maximal independent sets in infinite graphs [PDF]
Families of all sets of independent vertices in graphs are investigated. The problem how to characterize those infinite graphs which have arithmetically maximal independent sets is posed.
Bylka, Stanisław
core +1 more source
Linearly bounded infinite graphs [PDF]
Linearly bounded Turing machines have been mainly studied as acceptors for context-sensitive languages. We define a natural class of infinite automata representing their observable computational behavior, called linearly bounded graphs.
Meyer, Antoine +3 more
core +1 more source
On infinite outerplanar graphs [PDF]
In this Note, we study infinite graphs with locally finite outerplane embeddings, given a characterization by forbidden ...
Márquez Pérez, Alberto +2 more
core +1 more source
Note on robust coloring of planar graphs [PDF]
We consider the robust chromatic number \(\chi_1(G)\) of planar graphs \(G\) and show that there exists an infinite family of planar graphs \(G\) with \(\chi_1(G) = 3\), thus solving a recent problem of Bacsó et al.
František Kardoš +2 more
doaj +1 more source
On P-transitive graphs and applications [PDF]
We introduce a new class of graphs which we call P-transitive graphs, lying between transitive and 3-transitive graphs. First we show that the analogue of de Jongh-Sambin Theorem is false for wellfounded P-transitive graphs; then we show that the mu ...
Giacomo Lenzi
doaj +1 more source

