{"_buckets": {"deposit": "8efe4edc-4ef5-405b-94c9-e2c4d6823cc3"}, "_deposit": {"id": "589", "owners": [], "pid": {"revision_id": 0, "type": "recid", "value": "589"}, "status": "published"}, "_oai": {"id": "oai:meral.edu.mm:recid/589", "sets": ["1582967046255", "user-um"]}, "communities": ["um"], "control_number": "589", "item_1583103067471": {"attribute_name": "Title", "attribute_value_mlt": [{"subitem_1551255647225": "Relations Between SomePieces in The Game of Chess and Some Properties of Graphs", "subitem_1551255648112": "en"}]}, "item_1583103085720": {"attribute_name": "Description", "attribute_value_mlt": [{"interim": "In this paper, the necessary conditions for a bipartite graph to be Hamiltonian are first discussed. Relating these conditions, the movements of a chess piece called Knight, in the game of chess are discussed. And it is shown that finding a Hamiltonian cycle in a given bipartite graph of 64 vertices is equivalent to finding a reentrant Knight’s tour on a8 x 8 chessboard. Furthermore, the domination concepts of graphs are discussed. Relating these conditions, the movements of a chess piece called Queen are discussed. And it is shown that finding the independence number andindependent domination number of a given graph of 64 vertices areequivalent to finding respectively the maximum number of Queenswhich control each square and the minimum number of attackingQueens and non-attacking Queens on a8 x 8 chessboard."}]}, "item_1583103108160": {"attribute_name": "Keywords", "attribute_value_mlt": [{"interim": "Bipartite Graph"}]}, "item_1583103120197": {"attribute_name": "Files", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_access", "date": [{"dateType": "Available", "dateValue": "2020-05-05"}], "displaytype": "preview", "download_preview_message": "", "file_order": 0, "filename": "Relations Between SomePieces in The Game of Chess pdf.pdf", "filesize": [{"value": "453 Kb"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 453000.0, "url": {"url": "https://meral.edu.mm/record/589/files/Relations Between SomePieces in The Game of Chess pdf.pdf"}, "version_id": "7a047c5d-d587-4a84-b1ea-d15f70c6b05b"}]}, "item_1583103131163": {"attribute_name": "Journal articles", "attribute_value_mlt": [{"subitem_issue": "4", "subitem_journal_title": "Universities Research Journal, Department of Higher Education", "subitem_volume": "7"}]}, "item_1583103147082": {"attribute_name": "Conference papaers", "attribute_value_mlt": [{}]}, "item_1583103211336": {"attribute_name": "Books/reports/chapters", "attribute_value_mlt": [{}]}, "item_1583103233624": {"attribute_name": "Thesis/dissertations", "attribute_value_mlt": [{"subitem_supervisor(s)": []}]}, "item_1583105942107": {"attribute_name": "Authors", "attribute_value_mlt": [{"subitem_authors": [{"subitem_authors_fullname": "Shwin Seinn"}]}]}, "item_1583108359239": {"attribute_name": "Upload type", "attribute_value_mlt": [{"interim": "Publication"}]}, "item_1583108428133": {"attribute_name": "Publication type", "attribute_value_mlt": [{"interim": "Journal article"}]}, "item_1583159729339": {"attribute_name": "Publication date", "attribute_value": "2016"}, "item_1583159847033": {"attribute_name": "Identifier", "attribute_value": "https://umoar.mu.edu.mm/handle/123456789/237"}, "item_title": "Relations Between SomePieces in The Game of Chess and Some Properties of Graphs", "item_type_id": "21", "owner": "1", "path": ["1582967046255"], "permalink_uri": "http://hdl.handle.net/20.500.12678/0000000589", "pubdate": {"attribute_name": "Deposited date", "attribute_value": "2020-03-05"}, "publish_date": "2020-03-05", "publish_status": "0", "recid": "589", "relation": {}, "relation_version_is_last": true, "title": ["Relations Between SomePieces in The Game of Chess and Some Properties of Graphs"], "weko_shared_id": -1}