Results 61 to 70 of about 107 (87)

Bipartite graphs with close domination and k-domination numbers

open access: yesOpen Mathematics, 2020
Let kk be a positive integer and let GG be a graph with vertex set V(G)V(G). A subset D⊆V(G)D\subseteq V(G) is a kk-dominating set if every vertex outside DD is adjacent to at least kk vertices in DD. The kk-domination number γk(G){\gamma }_{k}(G) is the
Ekinci Gülnaz Boruzanlı   +1 more
doaj   +1 more source

A [k, k+1]-Factor Containing a Given Hamiltonian Cycle

open access: yes, 1998
We prove the following best possible result. Let k 2 be an integer and G be a graph of order n with minimum degree at least k. Assume n 8k \Gamma 16 for even n and n 6k \Gamma 13 for odd n.
Mikio Kano, Cai Mao-cheng, Yanjun Li
core  

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

Kaleidoscopic Colorings of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
For an r-regular graph G, let c : E(G) → [k] = {1, 2, . . . , k}, k ≥ 3, be an edge coloring of G, where every vertex of G is incident with at least one edge of each color.
Chartrand Gary, English Sean, Zhang Ping
doaj   +1 more source
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Total Roman {2}-domination in graphs

Quaestiones Mathematicae, 2021
Ismael G Yero   +2 more
exaly  

A lower bound for graph energy

Linear and Multilinear Algebra, 2020
Dein Wong
exaly  

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