{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:RMALGTLSQYYNWUUOOLDWROVNZZ","short_pith_number":"pith:RMALGTLS","schema_version":"1.0","canonical_sha256":"8b00b34d728630db528e72c768baadce5bca6ffcff1a91d7ef6777df04cf5f8a","source":{"kind":"arxiv","id":"1907.05719","version":1},"attestation_state":"computed","paper":{"title":"The effect of a graft transformation on distance signless Laplacian spectral radius of the graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Dandan Fan, Guoping Wang, Yinfeng Zhu","submitted_at":"2019-07-11T02:44:09Z","abstract_excerpt":"Suppose that the vertex set of a connected graph $G$ is $V(G)=\\{v_1,\\cdots,v_n\\}$. Then we denote by $Tr_{G}(v_i)$ the sum of distances between $v_i$ and all other vertices of $G$. Let $Tr(G)$ be the $n\\times n$ diagonal matrix with its $(i,i)$-entry equal to $Tr_{G}(v_{i})$ and $D(G)$ be the distance matrix of $G$. Then $Q_{D}(G)=Tr(G)+D(G)$ is the distance signless Laplacian matrix of $G$. The largest eigenvalues of $Q_D(G)$ is called distance signless Laplacian spectral radius of $G$. In this paper we give some graft transformations on distance signless Laplacian spectral radius of the grap"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1907.05719","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-07-11T02:44:09Z","cross_cats_sorted":[],"title_canon_sha256":"3f508956f0d2a21b7dda55feea423daffb2ac9ea9b5c83567845720cf9533d95","abstract_canon_sha256":"77d9c40aedd15ab2b796b708b24663c4f415f6e460cf9dc3f5f1caffdd87f28c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:44.668725Z","signature_b64":"NYrJ+PkS4mmk/4YyIkkH3vySCZ4oUs/F6XiDhKdTSsGoLVOqA/3/P1f3FdNaJv7EXEk7zS8d1+WggPQzBurwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b00b34d728630db528e72c768baadce5bca6ffcff1a91d7ef6777df04cf5f8a","last_reissued_at":"2026-05-17T23:40:44.668091Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:44.668091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The effect of a graft transformation on distance signless Laplacian spectral radius of the graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Dandan Fan, Guoping Wang, Yinfeng Zhu","submitted_at":"2019-07-11T02:44:09Z","abstract_excerpt":"Suppose that the vertex set of a connected graph $G$ is $V(G)=\\{v_1,\\cdots,v_n\\}$. Then we denote by $Tr_{G}(v_i)$ the sum of distances between $v_i$ and all other vertices of $G$. Let $Tr(G)$ be the $n\\times n$ diagonal matrix with its $(i,i)$-entry equal to $Tr_{G}(v_{i})$ and $D(G)$ be the distance matrix of $G$. Then $Q_{D}(G)=Tr(G)+D(G)$ is the distance signless Laplacian matrix of $G$. The largest eigenvalues of $Q_D(G)$ is called distance signless Laplacian spectral radius of $G$. In this paper we give some graft transformations on distance signless Laplacian spectral radius of the grap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.05719","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1907.05719","created_at":"2026-05-17T23:40:44.668216+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.05719v1","created_at":"2026-05-17T23:40:44.668216+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.05719","created_at":"2026-05-17T23:40:44.668216+00:00"},{"alias_kind":"pith_short_12","alias_value":"RMALGTLSQYYN","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"RMALGTLSQYYNWUUO","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"RMALGTLS","created_at":"2026-05-18T12:33:27.125529+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RMALGTLSQYYNWUUOOLDWROVNZZ","json":"https://pith.science/pith/RMALGTLSQYYNWUUOOLDWROVNZZ.json","graph_json":"https://pith.science/api/pith-number/RMALGTLSQYYNWUUOOLDWROVNZZ/graph.json","events_json":"https://pith.science/api/pith-number/RMALGTLSQYYNWUUOOLDWROVNZZ/events.json","paper":"https://pith.science/paper/RMALGTLS"},"agent_actions":{"view_html":"https://pith.science/pith/RMALGTLSQYYNWUUOOLDWROVNZZ","download_json":"https://pith.science/pith/RMALGTLSQYYNWUUOOLDWROVNZZ.json","view_paper":"https://pith.science/paper/RMALGTLS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.05719&json=true","fetch_graph":"https://pith.science/api/pith-number/RMALGTLSQYYNWUUOOLDWROVNZZ/graph.json","fetch_events":"https://pith.science/api/pith-number/RMALGTLSQYYNWUUOOLDWROVNZZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RMALGTLSQYYNWUUOOLDWROVNZZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RMALGTLSQYYNWUUOOLDWROVNZZ/action/storage_attestation","attest_author":"https://pith.science/pith/RMALGTLSQYYNWUUOOLDWROVNZZ/action/author_attestation","sign_citation":"https://pith.science/pith/RMALGTLSQYYNWUUOOLDWROVNZZ/action/citation_signature","submit_replication":"https://pith.science/pith/RMALGTLSQYYNWUUOOLDWROVNZZ/action/replication_record"}},"created_at":"2026-05-17T23:40:44.668216+00:00","updated_at":"2026-05-17T23:40:44.668216+00:00"}