Results 61 to 70 of about 808 (83)

Conflict-Free Vertex-Connections of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2020
A path in a vertex-colored graph is called conflict-free if there is a color used on exactly one of its vertices. A vertex-colored graph is said to be conflict-free vertex-connected if any two vertices of the graph are connected by a conflict-free path ...
Li Xueliang   +5 more
doaj   +1 more source

On 3-Coloring of ( 2 P 4 , C 5 )-Free Graphs. [PDF]

open access: yesAlgorithmica, 2022
Jelínek V   +4 more
europepmc   +1 more source

Graph Classes Generated by Mycielskians

open access: yesDiscussiones Mathematicae Graph Theory, 2020
In this paper we use the classical notion of weak Mycielskian M′(G) of a graph G and the following sequence: M′0(G) = G, M′1(G) = M′(G), and M′n(G) = M′(M′n−1(G)), to show that if G is a complete graph of order p, then the above sequence is a generator ...
Borowiecki Mieczys law   +3 more
doaj   +1 more source

Split Euler Tours In 4-Regular Planar Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2016
The construction of a homing tour is known to be NP-complete. On the other hand, the Euler formula puts su cient restrictions on plane graphs that one should be able to assert the existence of such tours in some cases; in particular we focus on split ...
Couch PJ   +3 more
doaj   +1 more source

The Graphs Whose Permanental Polynomials Are Symmetric

open access: yesDiscussiones Mathematicae Graph Theory, 2018
The permanental polynomial π(G,x)=∑i=0nbixn−i$\pi (G,x) = \sum\nolimits_{i = 0}^n {b_i x^{n - i} }$ of a graph G is symmetric if bi = bn−i for each i. In this paper, we characterize the graphs with symmetric permanental polynomials.
Li Wei
doaj   +1 more source

Strongly Unichord-Free Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2019
Several recent papers have investigated unichord-free graphs—the graphs in which no cycle has a unique chord. This paper proposes a concept of strongly unichord-free graph, defined by being unichord-free with no cycle of length 5 or more having exactly ...
McKee Terry A.
doaj   +1 more source

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