Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On graphs with graphic imbalance sequences
Репозиторій DSpace/Manakin
JavaScript is disabled for your browser. Some features of this site may not work without it.
On graphs with graphic imbalance sequences
Інший ID:
2010 MSC:05C07, 05C99.
Посилання:
On graphs with graphic imbalance sequences / S. Kozerenko, V. Skochko // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 97–108. — Бібліогр.: 10 назв. — англ.
Дата:
2014
Переглядів:
513
Завантажень:
174
Анотація:
The imbalance of the edge e = uv in a graph G is the value imbG(e) = |dG(u) − dG(v)|. We prove that the sequence MG of all edge imbalances in G is graphic for several classes of graphs including trees, graphs in which all non-leaf vertices form a clique and the so-called complete extensions of paths, cycles and complete graphs. Also, we formulate two interesting conjectures related to graphicality of MG.
