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All Journal Indonesian Journal of Combinatorics
Miquel Rius-Font
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Computer Science & IT Decision Sciences, Operations Research & Management

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The degree sequences of a graph with restrictions Rikio Ichishima; Francesc A. Muntaner-Batle; Miquel Rius-Font; Yukio Takahashi
Indonesian Journal of Combinatorics Vol 5, No 2 (2021)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2021.5.2.2

Abstract

Two finite sequences s1 and s2 of nonnegative integers are called bigraphical if there exists a bipartite graph G with partite sets V1 and V2 such that s1 and s2 are the degrees in G of the vertices in V1 and V2, respectively. In this paper, we introduce the concept of 1-graphical sequences and present a necessary and sufficient condition for a sequence to be 1-graphical in terms of bigraphical sequences.
Co-Authors Francesc A. Muntaner-Batle Rikio Ichishima Yukio Takahashi